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Finding the Fourth Proportional to 198,847.68, 274,377.92 and 113,948.96

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Solution

The fourth proportional to 198,847.68, 274,377.92 and 113,948.96 is: 157,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,847.68 : 274,377.92 = 113,948.96 : x
  2. Step 2: Convert to fraction form
    198,847.68/274,377.92 = 113,948.96/x
  3. Step 3: Cross multiply
    198,847.68x = 274,377.92 × 113,948.96
  4. Step 4: Simplify right side
    198,847.68x = 31,265,078,630.96
  5. Step 5: Solve for x
    x = 31,265,078,630.96/198,847.68
  6. Step 6: Final answer
    x = 157,231.30

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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.