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Finding the Fourth Proportional to 232,139.38, 320,418.78 and 136,701.44

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Solution

The fourth proportional to 232,139.38, 320,418.78 and 136,701.44 is: 188,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,139.38 : 320,418.78 = 136,701.44 : x
  2. Step 2: Convert to fraction form
    232,139.38/320,418.78 = 136,701.44/x
  3. Step 3: Cross multiply
    232,139.38x = 320,418.78 × 136,701.44
  4. Step 4: Simplify right side
    232,139.38x = 43,801,708,629.04
  5. Step 5: Solve for x
    x = 43,801,708,629.04/232,139.38
  6. Step 6: Final answer
    x = 188,687.11

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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.