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Finding the Fourth Proportional to 102,535.80, 141,510.36 and 57,229.53

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Solution

The fourth proportional to 102,535.80, 141,510.36 and 57,229.53 is: 78,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,535.80 : 141,510.36 = 57,229.53 : x
  2. Step 2: Convert to fraction form
    102,535.80/141,510.36 = 57,229.53/x
  3. Step 3: Cross multiply
    102,535.80x = 141,510.36 × 57,229.53
  4. Step 4: Simplify right side
    102,535.80x = 8,098,571,392.93
  5. Step 5: Solve for x
    x = 8,098,571,392.93/102,535.80
  6. Step 6: Final answer
    x = 78,982.87

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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.