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Finding the Fourth Proportional to 150,498, 207,719.64 and 90,082.13

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Solution

The fourth proportional to 150,498, 207,719.64 and 90,082.13 is: 124,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,498 : 207,719.64 = 90,082.13 : x
  2. Step 2: Convert to fraction form
    150,498/207,719.64 = 90,082.13/x
  3. Step 3: Cross multiply
    150,498x = 207,719.64 × 90,082.13
  4. Step 4: Simplify right side
    150,498x = 18,711,826,575.44
  5. Step 5: Solve for x
    x = 18,711,826,575.44/150,498
  6. Step 6: Final answer
    x = 124,332.73

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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.