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Finding the Fourth Proportional to 107,265.66, 160,786.20 and 36,163.71

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Solution

The fourth proportional to 107,265.66, 160,786.20 and 36,163.71 is: 54,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,265.66 : 160,786.20 = 36,163.71 : x
  2. Step 2: Convert to fraction form
    107,265.66/160,786.20 = 36,163.71/x
  3. Step 3: Cross multiply
    107,265.66x = 160,786.20 × 36,163.71
  4. Step 4: Simplify right side
    107,265.66x = 5,814,625,508.80
  5. Step 5: Solve for x
    x = 5,814,625,508.80/107,265.66
  6. Step 6: Final answer
    x = 54,207.71

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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.