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Finding the Fourth Proportional to 168,640.38, 232,732.73 and 97,031.31

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Solution

The fourth proportional to 168,640.38, 232,732.73 and 97,031.31 is: 133,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,640.38 : 232,732.73 = 97,031.31 : x
  2. Step 2: Convert to fraction form
    168,640.38/232,732.73 = 97,031.31/x
  3. Step 3: Cross multiply
    168,640.38x = 232,732.73 × 97,031.31
  4. Step 4: Simplify right side
    168,640.38x = 22,582,361,768.45
  5. Step 5: Solve for x
    x = 22,582,361,768.45/168,640.38
  6. Step 6: Final answer
    x = 133,908.39

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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.