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Finding the Fourth Proportional to 198,452, 273,867 and 113,615.84

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Solution

The fourth proportional to 198,452, 273,867 and 113,615.84 is: 156,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,452 : 273,867 = 113,615.84 : x
  2. Step 2: Convert to fraction form
    198,452/273,867 = 113,615.84/x
  3. Step 3: Cross multiply
    198,452x = 273,867 × 113,615.84
  4. Step 4: Simplify right side
    198,452x = 31,115,629,253.28
  5. Step 5: Solve for x
    x = 31,115,629,253.28/198,452
  6. Step 6: Final answer
    x = 156,791.71

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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.