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Finding the Fourth Proportional to 276,221.28, 414,034.20 and 133,764.96

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Solution

The fourth proportional to 276,221.28, 414,034.20 and 133,764.96 is: 200,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,221.28 : 414,034.20 = 133,764.96 : x
  2. Step 2: Convert to fraction form
    276,221.28/414,034.20 = 133,764.96/x
  3. Step 3: Cross multiply
    276,221.28x = 414,034.20 × 133,764.96
  4. Step 4: Simplify right side
    276,221.28x = 55,383,268,201.63
  5. Step 5: Solve for x
    x = 55,383,268,201.63/276,221.28
  6. Step 6: Final answer
    x = 200,503.26

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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.