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Finding the Fourth Proportional to 432,672.28, 649,069.92 and 133,177.82

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Solution

The fourth proportional to 432,672.28, 649,069.92 and 133,177.82 is: 199,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,672.28 : 649,069.92 = 133,177.82 : x
  2. Step 2: Convert to fraction form
    432,672.28/649,069.92 = 133,177.82/x
  3. Step 3: Cross multiply
    432,672.28x = 649,069.92 × 133,177.82
  4. Step 4: Simplify right side
    432,672.28x = 86,441,713,727.82
  5. Step 5: Solve for x
    x = 86,441,713,727.82/432,672.28
  6. Step 6: Final answer
    x = 199,785.65

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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.