On January $1,2023,$ Ferret, Inc., adopted the dollar$-$value LIFO method. The inventory cost on this date was $$100,000.$ The $2023$ ending inventory, valued at year$-$end costs, was $$126,000.$ The relative cost index for this inventory in $2023$ was $1\mathrm{.}05.$ Suppose that Ferret's $2024$ ending inventory, valued at year$-$end costs, was $$143,000$ and that the relative cost index for this inventory in $2024$ was $1\mathrm{.}10.$ Also suppose that Ferret's $2025$ ending inventory, valued at year$-$end costs, was $$153,600$ and that the relative cost index for this inventory in $2025$ was $1\mathrm{.}20.$ What inventory balance would Ferret report on its $12/31/25$ balance sheet?