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Finding the Fourth Proportional to 102,440.92, 141,369.98 and 57,117.56

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Solution

The fourth proportional to 102,440.92, 141,369.98 and 57,117.56 is: 78,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,440.92 : 141,369.98 = 57,117.56 : x
  2. Step 2: Convert to fraction form
    102,440.92/141,369.98 = 57,117.56/x
  3. Step 3: Cross multiply
    102,440.92x = 141,369.98 × 57,117.56
  4. Step 4: Simplify right side
    102,440.92x = 8,074,708,314.85
  5. Step 5: Solve for x
    x = 8,074,708,314.85/102,440.92
  6. Step 6: Final answer
    x = 78,823.07

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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.