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Finding the Fourth Proportional to 102,305.71, 141,188.98 and 62,021.17

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Solution

The fourth proportional to 102,305.71, 141,188.98 and 62,021.17 is: 85,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,305.71 : 141,188.98 = 62,021.17 : x
  2. Step 2: Convert to fraction form
    102,305.71/141,188.98 = 62,021.17/x
  3. Step 3: Cross multiply
    102,305.71x = 141,188.98 × 62,021.17
  4. Step 4: Simplify right side
    102,305.71x = 8,756,705,730.71
  5. Step 5: Solve for x
    x = 8,756,705,730.71/102,305.71
  6. Step 6: Final answer
    x = 85,593.52

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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.