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Finding the Fourth Proportional to 225,891.60, 338,868.72 and 76,174.80

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Solution

The fourth proportional to 225,891.60, 338,868.72 and 76,174.80 is: 114,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,891.60 : 338,868.72 = 76,174.80 : x
  2. Step 2: Convert to fraction form
    225,891.60/338,868.72 = 76,174.80/x
  3. Step 3: Cross multiply
    225,891.60x = 338,868.72 × 76,174.80
  4. Step 4: Simplify right side
    225,891.60x = 25,813,256,972.26
  5. Step 5: Solve for x
    x = 25,813,256,972.26/225,891.60
  6. Step 6: Final answer
    x = 114,272.76

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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.