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Finding the Fourth Proportional to 232,736, 321,175.68 and 126,752

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Solution

The fourth proportional to 232,736, 321,175.68 and 126,752 is: 174,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736 : 321,175.68 = 126,752 : x
  2. Step 2: Convert to fraction form
    232,736/321,175.68 = 126,752/x
  3. Step 3: Cross multiply
    232,736x = 321,175.68 × 126,752
  4. Step 4: Simplify right side
    232,736x = 40,709,659,791.36
  5. Step 5: Solve for x
    x = 40,709,659,791.36/232,736
  6. Step 6: Final answer
    x = 174,917.76

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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.