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Finding the Fourth Proportional to 138,422.80, 207,634.20 and 137,110.60

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Solution

The fourth proportional to 138,422.80, 207,634.20 and 137,110.60 is: 205,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422.80 : 207,634.20 = 137,110.60 : x
  2. Step 2: Convert to fraction form
    138,422.80/207,634.20 = 137,110.60/x
  3. Step 3: Cross multiply
    138,422.80x = 207,634.20 × 137,110.60
  4. Step 4: Simplify right side
    138,422.80x = 28,468,849,742.52
  5. Step 5: Solve for x
    x = 28,468,849,742.52/138,422.80
  6. Step 6: Final answer
    x = 205,665.90

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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.