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Finding the Fourth Proportional to 138,628.80, 207,943.20 and 137,462.40

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Solution

The fourth proportional to 138,628.80, 207,943.20 and 137,462.40 is: 206,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,628.80 : 207,943.20 = 137,462.40 : x
  2. Step 2: Convert to fraction form
    138,628.80/207,943.20 = 137,462.40/x
  3. Step 3: Cross multiply
    138,628.80x = 207,943.20 × 137,462.40
  4. Step 4: Simplify right side
    138,628.80x = 28,584,371,335.68
  5. Step 5: Solve for x
    x = 28,584,371,335.68/138,628.80
  6. Step 6: Final answer
    x = 206,193.60

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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.