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Finding the Fourth Proportional to 257,691.38, 355,614.30 and 144,514.13

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Solution

The fourth proportional to 257,691.38, 355,614.30 and 144,514.13 is: 199,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,691.38 : 355,614.30 = 144,514.13 : x
  2. Step 2: Convert to fraction form
    257,691.38/355,614.30 = 144,514.13/x
  3. Step 3: Cross multiply
    257,691.38x = 355,614.30 × 144,514.13
  4. Step 4: Simplify right side
    257,691.38x = 51,391,289,401.99
  5. Step 5: Solve for x
    x = 51,391,289,401.99/257,691.38
  6. Step 6: Final answer
    x = 199,429.61

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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.