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Finding the Fourth Proportional to 107,174.43, 160,761.71 and 27,218.39

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Solution

The fourth proportional to 107,174.43, 160,761.71 and 27,218.39 is: 40,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,174.43 : 160,761.71 = 27,218.39 : x
  2. Step 2: Convert to fraction form
    107,174.43/160,761.71 = 27,218.39/x
  3. Step 3: Cross multiply
    107,174.43x = 160,761.71 × 27,218.39
  4. Step 4: Simplify right side
    107,174.43x = 4,375,674,184.08
  5. Step 5: Solve for x
    x = 4,375,674,184.08/107,174.43
  6. Step 6: Final answer
    x = 40,827.59

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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.