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Finding the Fourth Proportional to 276,758.73, 414,815.49 and 127,014.84

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Solution

The fourth proportional to 276,758.73, 414,815.49 and 127,014.84 is: 190,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,758.73 : 414,815.49 = 127,014.84 : x
  2. Step 2: Convert to fraction form
    276,758.73/414,815.49 = 127,014.84/x
  3. Step 3: Cross multiply
    276,758.73x = 414,815.49 × 127,014.84
  4. Step 4: Simplify right side
    276,758.73x = 52,687,723,091.87
  5. Step 5: Solve for x
    x = 52,687,723,091.87/276,758.73
  6. Step 6: Final answer
    x = 190,374.20

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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.