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Finding the Fourth Proportional to 102,089.97, 153,082.17 and 45,882.05

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Solution

The fourth proportional to 102,089.97, 153,082.17 and 45,882.05 is: 68,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089.97 : 153,082.17 = 45,882.05 : x
  2. Step 2: Convert to fraction form
    102,089.97/153,082.17 = 45,882.05/x
  3. Step 3: Cross multiply
    102,089.97x = 153,082.17 × 45,882.05
  4. Step 4: Simplify right side
    102,089.97x = 7,023,723,012.64
  5. Step 5: Solve for x
    x = 7,023,723,012.64/102,089.97
  6. Step 6: Final answer
    x = 68,799.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.