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Finding the Fourth Proportional to 137,882.90, 206,872.95 and 133,022.90

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Solution

The fourth proportional to 137,882.90, 206,872.95 and 133,022.90 is: 199,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,882.90 : 206,872.95 = 133,022.90 : x
  2. Step 2: Convert to fraction form
    137,882.90/206,872.95 = 133,022.90/x
  3. Step 3: Cross multiply
    137,882.90x = 206,872.95 × 133,022.90
  4. Step 4: Simplify right side
    137,882.90x = 27,518,839,740.56
  5. Step 5: Solve for x
    x = 27,518,839,740.56/137,882.90
  6. Step 6: Final answer
    x = 199,581.24

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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.