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Finding the Fourth Proportional to 257,658.86, 386,514.77 and 89,178.91

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Solution

The fourth proportional to 257,658.86, 386,514.77 and 89,178.91 is: 133,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,658.86 : 386,514.77 = 89,178.91 : x
  2. Step 2: Convert to fraction form
    257,658.86/386,514.77 = 89,178.91/x
  3. Step 3: Cross multiply
    257,658.86x = 386,514.77 × 89,178.91
  4. Step 4: Simplify right side
    257,658.86x = 34,468,966,983.78
  5. Step 5: Solve for x
    x = 34,468,966,983.78/257,658.86
  6. Step 6: Final answer
    x = 133,777.53

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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.