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Finding the Fourth Proportional to 225,594.48, 338,379.27 and 75,819.31

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Solution

The fourth proportional to 225,594.48, 338,379.27 and 75,819.31 is: 113,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,594.48 : 338,379.27 = 75,819.31 : x
  2. Step 2: Convert to fraction form
    225,594.48/338,379.27 = 75,819.31/x
  3. Step 3: Cross multiply
    225,594.48x = 338,379.27 × 75,819.31
  4. Step 4: Simplify right side
    225,594.48x = 25,655,681,639.43
  5. Step 5: Solve for x
    x = 25,655,681,639.43/225,594.48
  6. Step 6: Final answer
    x = 113,724.77

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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.