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Finding the Fourth Proportional to 138,314.80, 207,472.20 and 137,002.60

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Solution

The fourth proportional to 138,314.80, 207,472.20 and 137,002.60 is: 205,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,314.80 : 207,472.20 = 137,002.60 : x
  2. Step 2: Convert to fraction form
    138,314.80/207,472.20 = 137,002.60/x
  3. Step 3: Cross multiply
    138,314.80x = 207,472.20 × 137,002.60
  4. Step 4: Simplify right side
    138,314.80x = 28,424,230,827.72
  5. Step 5: Solve for x
    x = 28,424,230,827.72/138,314.80
  6. Step 6: Final answer
    x = 205,503.90

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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.