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Finding the Fourth Proportional to 232,858, 321,344.04 and 126,874

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Solution

The fourth proportional to 232,858, 321,344.04 and 126,874 is: 175,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,858 : 321,344.04 = 126,874 : x
  2. Step 2: Convert to fraction form
    232,858/321,344.04 = 126,874/x
  3. Step 3: Cross multiply
    232,858x = 321,344.04 × 126,874
  4. Step 4: Simplify right side
    232,858x = 40,770,203,730.96
  5. Step 5: Solve for x
    x = 40,770,203,730.96/232,858
  6. Step 6: Final answer
    x = 175,086.12

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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.