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Finding the Fourth Proportional to 285,491.52, 428,220 and 75,129.12

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Solution

The fourth proportional to 285,491.52, 428,220 and 75,129.12 is: 112,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,491.52 : 428,220 = 75,129.12 : x
  2. Step 2: Convert to fraction form
    285,491.52/428,220 = 75,129.12/x
  3. Step 3: Cross multiply
    285,491.52x = 428,220 × 75,129.12
  4. Step 4: Simplify right side
    285,491.52x = 32,171,791,766.40
  5. Step 5: Solve for x
    x = 32,171,791,766.40/285,491.52
  6. Step 6: Final answer
    x = 112,689.13

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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.