Finding the Fourth Proportional to 204,830.25, 282,662.91 and 114,193.68
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Solution
The fourth proportional to 204,830.25, 282,662.91 and 114,193.68 is: 157,585.70
Step by Step Solution
- Step 1: Write the proportion equation
204,830.25 : 282,662.91 = 114,193.68 : x - Step 2: Convert to fraction form
204,830.25/282,662.91 = 114,193.68/x - Step 3: Cross multiply
204,830.25x = 282,662.91 × 114,193.68 - Step 4: Simplify right side
204,830.25x = 32,278,317,892.41 - Step 5: Solve for x
x = 32,278,317,892.41/204,830.25 - Step 6: Final answer
x = 157,585.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.