company uses the dollar$-$value LIFO method of computing inventory. An external price index is used to convert ending inventory to base year. The company began operations on January $1,2024,$ with an inventory of $$192,000.$ Year$-$end inventories at year$-$end costs and cost indexes for its one inventory pool were as follows:Year Ended. Ending Inventory at Cost Index $($Relative to December $31$ Year$-$End CostsBase Year$)$

$2024$$ $275,6001\mathrm{.}06$

$2025351,1201\mathrm{.}14$

$2026330,7801\mathrm{.}11$

$2027326,3501\mathrm{.}07$ Required:Calculate inventory amounts at the