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Finding the Fourth Proportional to 276,082.11, 414,132.42 and 76,385.77

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Solution

The fourth proportional to 276,082.11, 414,132.42 and 76,385.77 is: 114,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,082.11 : 414,132.42 = 76,385.77 : x
  2. Step 2: Convert to fraction form
    276,082.11/414,132.42 = 76,385.77/x
  3. Step 3: Cross multiply
    276,082.11x = 414,132.42 × 76,385.77
  4. Step 4: Simplify right side
    276,082.11x = 31,633,822,748.33
  5. Step 5: Solve for x
    x = 31,633,822,748.33/276,082.11
  6. Step 6: Final answer
    x = 114,581.21

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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.