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Finding the Fourth Proportional to 179,503.31, 247,711.17 and 97,832.24

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Solution

The fourth proportional to 179,503.31, 247,711.17 and 97,832.24 is: 135,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,503.31 : 247,711.17 = 97,832.24 : x
  2. Step 2: Convert to fraction form
    179,503.31/247,711.17 = 97,832.24/x
  3. Step 3: Cross multiply
    179,503.31x = 247,711.17 × 97,832.24
  4. Step 4: Simplify right side
    179,503.31x = 24,234,137,395.57
  5. Step 5: Solve for x
    x = 24,234,137,395.57/179,503.31
  6. Step 6: Final answer
    x = 135,006.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.