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Finding the Fourth Proportional to 125,149.86, 187,614.77 and 65,051.78

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Solution

The fourth proportional to 125,149.86, 187,614.77 and 65,051.78 is: 97,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,149.86 : 187,614.77 = 65,051.78 : x
  2. Step 2: Convert to fraction form
    125,149.86/187,614.77 = 65,051.78/x
  3. Step 3: Cross multiply
    125,149.86x = 187,614.77 × 65,051.78
  4. Step 4: Simplify right side
    125,149.86x = 12,204,673,479.46
  5. Step 5: Solve for x
    x = 12,204,673,479.46/125,149.86
  6. Step 6: Final answer
    x = 97,520.47

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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.