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Finding the Fourth Proportional to 102,227.50, 141,061.65 and 56,894.14

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Solution

The fourth proportional to 102,227.50, 141,061.65 and 56,894.14 is: 78,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.50 : 141,061.65 = 56,894.14 : x
  2. Step 2: Convert to fraction form
    102,227.50/141,061.65 = 56,894.14/x
  3. Step 3: Cross multiply
    102,227.50x = 141,061.65 × 56,894.14
  4. Step 4: Simplify right side
    102,227.50x = 8,025,581,263.73
  5. Step 5: Solve for x
    x = 8,025,581,263.73/102,227.50
  6. Step 6: Final answer
    x = 78,507.07

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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.