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Finding the Fourth Proportional to 137,323.62, 206,006.22 and 48,578.13

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Solution

The fourth proportional to 137,323.62, 206,006.22 and 48,578.13 is: 72,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,323.62 : 206,006.22 = 48,578.13 : x
  2. Step 2: Convert to fraction form
    137,323.62/206,006.22 = 48,578.13/x
  3. Step 3: Cross multiply
    137,323.62x = 206,006.22 × 48,578.13
  4. Step 4: Simplify right side
    137,323.62x = 10,007,396,935.97
  5. Step 5: Solve for x
    x = 10,007,396,935.97/137,323.62
  6. Step 6: Final answer
    x = 72,874.55

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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.