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Finding the Fourth Proportional to 432,754.56, 649,205.97 and 133,229.25

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Solution

The fourth proportional to 432,754.56, 649,205.97 and 133,229.25 is: 199,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,754.56 : 649,205.97 = 133,229.25 : x
  2. Step 2: Convert to fraction form
    432,754.56/649,205.97 = 133,229.25/x
  3. Step 3: Cross multiply
    432,754.56x = 649,205.97 × 133,229.25
  4. Step 4: Simplify right side
    432,754.56x = 86,493,224,478.62
  5. Step 5: Solve for x
    x = 86,493,224,478.62/432,754.56
  6. Step 6: Final answer
    x = 199,866.70

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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.