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Finding the Fourth Proportional to 123,200.20, 184,508.70 and 83,542.60

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Solution

The fourth proportional to 123,200.20, 184,508.70 and 83,542.60 is: 125,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.20 : 184,508.70 = 83,542.60 : x
  2. Step 2: Convert to fraction form
    123,200.20/184,508.70 = 83,542.60/x
  3. Step 3: Cross multiply
    123,200.20x = 184,508.70 × 83,542.60
  4. Step 4: Simplify right side
    123,200.20x = 15,414,336,520.62
  5. Step 5: Solve for x
    x = 15,414,336,520.62/123,200.20
  6. Step 6: Final answer
    x = 125,116.16

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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.