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Finding the Fourth Proportional to 232,839, 321,318.23 and 132,237

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Solution

The fourth proportional to 232,839, 321,318.23 and 132,237 is: 182,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,839 : 321,318.23 = 132,237 : x
  2. Step 2: Convert to fraction form
    232,839/321,318.23 = 132,237/x
  3. Step 3: Cross multiply
    232,839x = 321,318.23 × 132,237
  4. Step 4: Simplify right side
    232,839x = 42,490,158,119.33
  5. Step 5: Solve for x
    x = 42,490,158,119.33/232,839
  6. Step 6: Final answer
    x = 182,487.29

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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.