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Finding the Fourth Proportional to 276,834.24, 415,251.50 and 77,159.79

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Solution

The fourth proportional to 276,834.24, 415,251.50 and 77,159.79 is: 115,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,834.24 : 415,251.50 = 77,159.79 : x
  2. Step 2: Convert to fraction form
    276,834.24/415,251.50 = 77,159.79/x
  3. Step 3: Cross multiply
    276,834.24x = 415,251.50 × 77,159.79
  4. Step 4: Simplify right side
    276,834.24x = 32,040,718,151.39
  5. Step 5: Solve for x
    x = 32,040,718,151.39/276,834.24
  6. Step 6: Final answer
    x = 115,739.72

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