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Finding the Fourth Proportional to 137,469.60, 206,175.60 and 67,399.20

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Solution

The fourth proportional to 137,469.60, 206,175.60 and 67,399.20 is: 101,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,469.60 : 206,175.60 = 67,399.20 : x
  2. Step 2: Convert to fraction form
    137,469.60/206,175.60 = 67,399.20/x
  3. Step 3: Cross multiply
    137,469.60x = 206,175.60 × 67,399.20
  4. Step 4: Simplify right side
    137,469.60x = 13,896,070,499.52
  5. Step 5: Solve for x
    x = 13,896,070,499.52/137,469.60
  6. Step 6: Final answer
    x = 101,084.68

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Why These Related Problems?

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