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Finding the Fourth Proportional to 232,982.52, 321,514.20 and 132,380.52

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Solution

The fourth proportional to 232,982.52, 321,514.20 and 132,380.52 is: 182,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982.52 : 321,514.20 = 132,380.52 : x
  2. Step 2: Convert to fraction form
    232,982.52/321,514.20 = 132,380.52/x
  3. Step 3: Cross multiply
    232,982.52x = 321,514.20 × 132,380.52
  4. Step 4: Simplify right side
    232,982.52x = 42,562,216,983.38
  5. Step 5: Solve for x
    x = 42,562,216,983.38/232,982.52
  6. Step 6: Final answer
    x = 182,684.16

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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.