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Finding the Fourth Proportional to 225,838.61, 338,650.61 and 131,097.84

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Solution

The fourth proportional to 225,838.61, 338,650.61 and 131,097.84 is: 196,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,838.61 : 338,650.61 = 131,097.84 : x
  2. Step 2: Convert to fraction form
    225,838.61/338,650.61 = 131,097.84/x
  3. Step 3: Cross multiply
    225,838.61x = 338,650.61 × 131,097.84
  4. Step 4: Simplify right side
    225,838.61x = 44,396,361,560.25
  5. Step 5: Solve for x
    x = 44,396,361,560.25/225,838.61
  6. Step 6: Final answer
    x = 196,584.46

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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.