You are right about the meaning. It is a prepositional phrase with a verbless noun clause as the object of the preposition.
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momoko23So I suppose the re-written sentence is correct.That is a good paraphrase, but it is not natural.
Mister Micawber momoko23So I suppose the re-written sentence is correct.That is a good paraphrase, but it is not natural.'with prices being a record of 19 times the average pre-tax household home'
momoko23So how to make this sentence sound more naturalwith prices a record 19 times average pre-tax household income