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Finding the Fourth Proportional to 232,704, 321,131.52 and 126,720

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Solution

The fourth proportional to 232,704, 321,131.52 and 126,720 is: 174,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 321,131.52 = 126,720 : x
  2. Step 2: Convert to fraction form
    232,704/321,131.52 = 126,720/x
  3. Step 3: Cross multiply
    232,704x = 321,131.52 × 126,720
  4. Step 4: Simplify right side
    232,704x = 40,693,786,214.40
  5. Step 5: Solve for x
    x = 40,693,786,214.40/232,704
  6. Step 6: Final answer
    x = 174,873.60

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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.