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Finding the Fourth Proportional to 150,320.48, 225,393 and 100,456.88

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Solution

The fourth proportional to 150,320.48, 225,393 and 100,456.88 is: 150,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,320.48 : 225,393 = 100,456.88 : x
  2. Step 2: Convert to fraction form
    150,320.48/225,393 = 100,456.88/x
  3. Step 3: Cross multiply
    150,320.48x = 225,393 × 100,456.88
  4. Step 4: Simplify right side
    150,320.48x = 22,642,277,553.84
  5. Step 5: Solve for x
    x = 22,642,277,553.84/150,320.48
  6. Step 6: Final answer
    x = 150,626.70

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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.