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Finding the Fourth Proportional to 144,091.38, 198,839.70 and 80,427.72

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Solution

The fourth proportional to 144,091.38, 198,839.70 and 80,427.72 is: 110,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,091.38 : 198,839.70 = 80,427.72 : x
  2. Step 2: Convert to fraction form
    144,091.38/198,839.70 = 80,427.72/x
  3. Step 3: Cross multiply
    144,091.38x = 198,839.70 × 80,427.72
  4. Step 4: Simplify right side
    144,091.38x = 15,992,223,716.48
  5. Step 5: Solve for x
    x = 15,992,223,716.48/144,091.38
  6. Step 6: Final answer
    x = 110,986.68

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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.