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Finding the Fourth Proportional to 102,424.87, 141,347.57 and 59,414.32

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Solution

The fourth proportional to 102,424.87, 141,347.57 and 59,414.32 is: 81,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,424.87 : 141,347.57 = 59,414.32 : x
  2. Step 2: Convert to fraction form
    102,424.87/141,347.57 = 59,414.32/x
  3. Step 3: Cross multiply
    102,424.87x = 141,347.57 × 59,414.32
  4. Step 4: Simplify right side
    102,424.87x = 8,398,069,755.20
  5. Step 5: Solve for x
    x = 8,398,069,755.20/102,424.87
  6. Step 6: Final answer
    x = 81,992.49

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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.