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Finding the Fourth Proportional to 232,794, 321,255.72 and 132,192

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Solution

The fourth proportional to 232,794, 321,255.72 and 132,192 is: 182,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,794 : 321,255.72 = 132,192 : x
  2. Step 2: Convert to fraction form
    232,794/321,255.72 = 132,192/x
  3. Step 3: Cross multiply
    232,794x = 321,255.72 × 132,192
  4. Step 4: Simplify right side
    232,794x = 42,467,436,138.24
  5. Step 5: Solve for x
    x = 42,467,436,138.24/232,794
  6. Step 6: Final answer
    x = 182,424.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.