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Finding the Fourth Proportional to 198,466.38, 273,863.84 and 112,408.19

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Solution

The fourth proportional to 198,466.38, 273,863.84 and 112,408.19 is: 155,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,466.38 : 273,863.84 = 112,408.19 : x
  2. Step 2: Convert to fraction form
    198,466.38/273,863.84 = 112,408.19/x
  3. Step 3: Cross multiply
    198,466.38x = 273,863.84 × 112,408.19
  4. Step 4: Simplify right side
    198,466.38x = 30,784,538,560.85
  5. Step 5: Solve for x
    x = 30,784,538,560.85/198,466.38
  6. Step 6: Final answer
    x = 155,112.11

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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.