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Finding the Fourth Proportional to 101,371.62, 152,082.21 and 71,444.22

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Solution

The fourth proportional to 101,371.62, 152,082.21 and 71,444.22 is: 107,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,371.62 : 152,082.21 = 71,444.22 : x
  2. Step 2: Convert to fraction form
    101,371.62/152,082.21 = 71,444.22/x
  3. Step 3: Cross multiply
    101,371.62x = 152,082.21 × 71,444.22
  4. Step 4: Simplify right side
    101,371.62x = 10,865,394,869.33
  5. Step 5: Solve for x
    x = 10,865,394,869.33/101,371.62
  6. Step 6: Final answer
    x = 107,183.79

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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.