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Finding the Fourth Proportional to 92,002.60, 137,658.30 and 83,708.20

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Solution

The fourth proportional to 92,002.60, 137,658.30 and 83,708.20 is: 125,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,002.60 : 137,658.30 = 83,708.20 : x
  2. Step 2: Convert to fraction form
    92,002.60/137,658.30 = 83,708.20/x
  3. Step 3: Cross multiply
    92,002.60x = 137,658.30 × 83,708.20
  4. Step 4: Simplify right side
    92,002.60x = 11,523,128,508.06
  5. Step 5: Solve for x
    x = 11,523,128,508.06/92,002.60
  6. Step 6: Final answer
    x = 125,247.86

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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.