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Finding the Fourth Proportional to 150,398.88, 225,291.68 and 71,273.12

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Solution

The fourth proportional to 150,398.88, 225,291.68 and 71,273.12 is: 106,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,398.88 : 225,291.68 = 71,273.12 : x
  2. Step 2: Convert to fraction form
    150,398.88/225,291.68 = 71,273.12/x
  3. Step 3: Cross multiply
    150,398.88x = 225,291.68 × 71,273.12
  4. Step 4: Simplify right side
    150,398.88x = 16,057,240,943.64
  5. Step 5: Solve for x
    x = 16,057,240,943.64/150,398.88
  6. Step 6: Final answer
    x = 106,764.37

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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.