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Finding the Fourth Proportional to 102,398.92, 141,308.15 and 59,386.10

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Solution

The fourth proportional to 102,398.92, 141,308.15 and 59,386.10 is: 81,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,398.92 : 141,308.15 = 59,386.10 : x
  2. Step 2: Convert to fraction form
    102,398.92/141,308.15 = 59,386.10/x
  3. Step 3: Cross multiply
    102,398.92x = 141,308.15 × 59,386.10
  4. Step 4: Simplify right side
    102,398.92x = 8,391,738,923.24
  5. Step 5: Solve for x
    x = 8,391,738,923.24/102,398.92
  6. Step 6: Final answer
    x = 81,951.44

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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.