On October $1,2022,$ Ivanhoe Company places a new asset into service. The cost of the asset is $$220000$ with an estimated $4-$year life and $$30000$ salvage value at the end of its useful life. What is the book value of the plant asset on the December $31,2022$ balance sheet assuming that Ivanhoe Company uses the double$-$declining$-$balance method of depreciation?

$$162500.$

$$192500.$

$$190000.$

$$206250.$