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Finding the Fourth Proportional to 232,750, 321,195 and 126,766

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Solution

The fourth proportional to 232,750, 321,195 and 126,766 is: 174,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,750 : 321,195 = 126,766 : x
  2. Step 2: Convert to fraction form
    232,750/321,195 = 126,766/x
  3. Step 3: Cross multiply
    232,750x = 321,195 × 126,766
  4. Step 4: Simplify right side
    232,750x = 40,716,605,370
  5. Step 5: Solve for x
    x = 40,716,605,370/232,750
  6. Step 6: Final answer
    x = 174,937.08

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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.