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Finding the Fourth Proportional to 172,351.10, 258,721.05 and 133,082.30

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Solution

The fourth proportional to 172,351.10, 258,721.05 and 133,082.30 is: 199,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,351.10 : 258,721.05 = 133,082.30 : x
  2. Step 2: Convert to fraction form
    172,351.10/258,721.05 = 133,082.30/x
  3. Step 3: Cross multiply
    172,351.10x = 258,721.05 × 133,082.30
  4. Step 4: Simplify right side
    172,351.10x = 34,431,192,392.42
  5. Step 5: Solve for x
    x = 34,431,192,392.42/172,351.10
  6. Step 6: Final answer
    x = 199,773.56

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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.