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Finding the Fourth Proportional to 198,496.52, 273,930.42 and 113,640.92

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Solution

The fourth proportional to 198,496.52, 273,930.42 and 113,640.92 is: 156,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,496.52 : 273,930.42 = 113,640.92 : x
  2. Step 2: Convert to fraction form
    198,496.52/273,930.42 = 113,640.92/x
  3. Step 3: Cross multiply
    198,496.52x = 273,930.42 × 113,640.92
  4. Step 4: Simplify right side
    198,496.52x = 31,129,704,944.79
  5. Step 5: Solve for x
    x = 31,129,704,944.79/198,496.52
  6. Step 6: Final answer
    x = 156,827.46

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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.