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Finding the Fourth Proportional to 272,382.66, 408,575.76 and 94,893

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Solution

The fourth proportional to 272,382.66, 408,575.76 and 94,893 is: 142,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,382.66 : 408,575.76 = 94,893 : x
  2. Step 2: Convert to fraction form
    272,382.66/408,575.76 = 94,893/x
  3. Step 3: Cross multiply
    272,382.66x = 408,575.76 × 94,893
  4. Step 4: Simplify right side
    272,382.66x = 38,770,979,593.68
  5. Step 5: Solve for x
    x = 38,770,979,593.68/272,382.66
  6. Step 6: Final answer
    x = 142,340.12

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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.