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Finding the Fourth Proportional to 138,493.80, 207,740.70 and 85,962.60

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Solution

The fourth proportional to 138,493.80, 207,740.70 and 85,962.60 is: 128,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,493.80 : 207,740.70 = 85,962.60 : x
  2. Step 2: Convert to fraction form
    138,493.80/207,740.70 = 85,962.60/x
  3. Step 3: Cross multiply
    138,493.80x = 207,740.70 × 85,962.60
  4. Step 4: Simplify right side
    138,493.80x = 17,857,930,697.82
  5. Step 5: Solve for x
    x = 17,857,930,697.82/138,493.80
  6. Step 6: Final answer
    x = 128,943.90

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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.