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Finding the Fourth Proportional to 225,374.08, 338,112.96 and 75,634.24

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Solution

The fourth proportional to 225,374.08, 338,112.96 and 75,634.24 is: 113,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,374.08 : 338,112.96 = 75,634.24 : x
  2. Step 2: Convert to fraction form
    225,374.08/338,112.96 = 75,634.24/x
  3. Step 3: Cross multiply
    225,374.08x = 338,112.96 × 75,634.24
  4. Step 4: Simplify right side
    225,374.08x = 25,572,916,763.75
  5. Step 5: Solve for x
    x = 25,572,916,763.75/225,374.08
  6. Step 6: Final answer
    x = 113,468.76

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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.