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Finding the Fourth Proportional to 276,896.60, 415,338.93 and 77,211.66

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Solution

The fourth proportional to 276,896.60, 415,338.93 and 77,211.66 is: 115,815.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,896.60 : 415,338.93 = 77,211.66 : x
  2. Step 2: Convert to fraction form
    276,896.60/415,338.93 = 77,211.66/x
  3. Step 3: Cross multiply
    276,896.60x = 415,338.93 × 77,211.66
  4. Step 4: Simplify right side
    276,896.60x = 32,069,008,247.92
  5. Step 5: Solve for x
    x = 32,069,008,247.92/276,896.60
  6. Step 6: Final answer
    x = 115,815.83

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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.