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Finding the Fourth Proportional to 179,497.92, 269,251.20 and 74,288.64

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Solution

The fourth proportional to 179,497.92, 269,251.20 and 74,288.64 is: 111,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,497.92 : 269,251.20 = 74,288.64 : x
  2. Step 2: Convert to fraction form
    179,497.92/269,251.20 = 74,288.64/x
  3. Step 3: Cross multiply
    179,497.92x = 269,251.20 × 74,288.64
  4. Step 4: Simplify right side
    179,497.92x = 20,002,305,466.37
  5. Step 5: Solve for x
    x = 20,002,305,466.37/179,497.92
  6. Step 6: Final answer
    x = 111,434.75

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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.