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Finding the Fourth Proportional to 150,545.88, 225,790 and 75,645.28

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Solution

The fourth proportional to 150,545.88, 225,790 and 75,645.28 is: 113,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,545.88 : 225,790 = 75,645.28 : x
  2. Step 2: Convert to fraction form
    150,545.88/225,790 = 75,645.28/x
  3. Step 3: Cross multiply
    150,545.88x = 225,790 × 75,645.28
  4. Step 4: Simplify right side
    150,545.88x = 17,079,947,771.20
  5. Step 5: Solve for x
    x = 17,079,947,771.20/150,545.88
  6. Step 6: Final answer
    x = 113,453.44

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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.