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Finding the Fourth Proportional to 100,166.39, 138,229.65 and 54,847.24

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Solution

The fourth proportional to 100,166.39, 138,229.65 and 54,847.24 is: 75,689.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.39 : 138,229.65 = 54,847.24 : x
  2. Step 2: Convert to fraction form
    100,166.39/138,229.65 = 54,847.24/x
  3. Step 3: Cross multiply
    100,166.39x = 138,229.65 × 54,847.24
  4. Step 4: Simplify right side
    100,166.39x = 7,581,514,443.09
  5. Step 5: Solve for x
    x = 7,581,514,443.09/100,166.39
  6. Step 6: Final answer
    x = 75,689.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.