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Finding the Fourth Proportional to 225,473.22, 338,078.34 and 150,677.82

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Solution

The fourth proportional to 225,473.22, 338,078.34 and 150,677.82 is: 225,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,473.22 : 338,078.34 = 150,677.82 : x
  2. Step 2: Convert to fraction form
    225,473.22/338,078.34 = 150,677.82/x
  3. Step 3: Cross multiply
    225,473.22x = 338,078.34 × 150,677.82
  4. Step 4: Simplify right side
    225,473.22x = 50,940,907,260.42
  5. Step 5: Solve for x
    x = 50,940,907,260.42/225,473.22
  6. Step 6: Final answer
    x = 225,928.86

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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.