Phrase: "His money running out..."

[Tom]

Hi

Could you please tell me what sort of phrase this is? Is it correct? If you are positive, I would request you for a few more examples of the same sort!

1- His money running out, he took a job as a dishwasher.

(A stranger in the mirror: pg:32)

Tom

[Yankee]

Hi Tom

I'd say it's a participial phrase functioning as an adjective and it modifies he.

Having no other choice, he took the job.

Smiling broadly, Sue explained her momentous discovery.

Having not studied at all, he failed the test.

[Alan]

Hi Tom,

Just one word of warning: make sure the subject of the phrase is the same subject of the main verb.

Here is a classic example of what not to write:

Walking down the street, his hat blew off.

What's wrong with that?
I've written it small because it's wrong!

Alan
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English as a Second Language
You can read my ESL story Relative Pronoun

[Tamara]

[Tamara]

In other words: in my view, the obvious confusion in my (translated) example would be only if I used the Passive form in the second part (‘was blown off’ for hat), instead of Active (as it is in the original version of the Chechov's joke).
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It’s impossible to learn swimming without entering the water…

[Yankee]

Hi Tamara

I suspect most people would understand the intended meaning of "Arriving at the station, my hat blew off". But technically speaking, this sentence implies that only the hat arrived at the station.

Amy

[Tom]

Thank you everybody.

Just one more question:

If I wrote the sentence this way would it be wrong?

With his money running out, he took a job as a dishwasher.

Tom

[Tamara]

[Conchita]