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Finding the Fourth Proportional to 150,493.38, 207,679.46 and 82,514.13

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Solution

The fourth proportional to 150,493.38, 207,679.46 and 82,514.13 is: 113,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493.38 : 207,679.46 = 82,514.13 : x
  2. Step 2: Convert to fraction form
    150,493.38/207,679.46 = 82,514.13/x
  3. Step 3: Cross multiply
    150,493.38x = 207,679.46 × 82,514.13
  4. Step 4: Simplify right side
    150,493.38x = 17,136,489,960.77
  5. Step 5: Solve for x
    x = 17,136,489,960.77/150,493.38
  6. Step 6: Final answer
    x = 113,868.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.