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Finding the Fourth Proportional to 225,661.44, 338,496.96 and 75,906.24

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Solution

The fourth proportional to 225,661.44, 338,496.96 and 75,906.24 is: 113,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,661.44 : 338,496.96 = 75,906.24 : x
  2. Step 2: Convert to fraction form
    225,661.44/338,496.96 = 75,906.24/x
  3. Step 3: Cross multiply
    225,661.44x = 338,496.96 × 75,906.24
  4. Step 4: Simplify right side
    225,661.44x = 25,694,031,485.03
  5. Step 5: Solve for x
    x = 25,694,031,485.03/225,661.44
  6. Step 6: Final answer
    x = 113,860.97

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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.