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Finding the Fourth Proportional to 144,082.28, 198,841.32 and 80,419.52

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Solution

The fourth proportional to 144,082.28, 198,841.32 and 80,419.52 is: 110,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,082.28 : 198,841.32 = 80,419.52 : x
  2. Step 2: Convert to fraction form
    144,082.28/198,841.32 = 80,419.52/x
  3. Step 3: Cross multiply
    144,082.28x = 198,841.32 × 80,419.52
  4. Step 4: Simplify right side
    144,082.28x = 15,990,723,510.57
  5. Step 5: Solve for x
    x = 15,990,723,510.57/144,082.28
  6. Step 6: Final answer
    x = 110,983.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.