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Finding the Fourth Proportional to 102,020.70, 152,901.14 and 57,672.12

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Solution

The fourth proportional to 102,020.70, 152,901.14 and 57,672.12 is: 86,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,020.70 : 152,901.14 = 57,672.12 : x
  2. Step 2: Convert to fraction form
    102,020.70/152,901.14 = 57,672.12/x
  3. Step 3: Cross multiply
    102,020.70x = 152,901.14 × 57,672.12
  4. Step 4: Simplify right side
    102,020.70x = 8,818,132,605.86
  5. Step 5: Solve for x
    x = 8,818,132,605.86/102,020.70
  6. Step 6: Final answer
    x = 86,434.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.