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Finding the Fourth Proportional to 225,609.50, 338,414.25 and 107,216.26

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Solution

The fourth proportional to 225,609.50, 338,414.25 and 107,216.26 is: 160,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,609.50 : 338,414.25 = 107,216.26 : x
  2. Step 2: Convert to fraction form
    225,609.50/338,414.25 = 107,216.26/x
  3. Step 3: Cross multiply
    225,609.50x = 338,414.25 × 107,216.26
  4. Step 4: Simplify right side
    225,609.50x = 36,283,509,771.73
  5. Step 5: Solve for x
    x = 36,283,509,771.73/225,609.50
  6. Step 6: Final answer
    x = 160,824.39

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Similar ratio
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1.5x scale

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.