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Finding the Fourth Proportional to 102,439.98, 141,356.82 and 57,113.70

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Solution

The fourth proportional to 102,439.98, 141,356.82 and 57,113.70 is: 78,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,439.98 : 141,356.82 = 57,113.70 : x
  2. Step 2: Convert to fraction form
    102,439.98/141,356.82 = 57,113.70/x
  3. Step 3: Cross multiply
    102,439.98x = 141,356.82 × 57,113.70
  4. Step 4: Simplify right side
    102,439.98x = 8,073,411,010.43
  5. Step 5: Solve for x
    x = 8,073,411,010.43/102,439.98
  6. Step 6: Final answer
    x = 78,811.13

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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.