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Finding the Fourth Proportional to 168,642.38, 232,735.49 and 97,033.31

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Solution

The fourth proportional to 168,642.38, 232,735.49 and 97,033.31 is: 133,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,642.38 : 232,735.49 = 97,033.31 : x
  2. Step 2: Convert to fraction form
    168,642.38/232,735.49 = 97,033.31/x
  3. Step 3: Cross multiply
    168,642.38x = 232,735.49 × 97,033.31
  4. Step 4: Simplify right side
    168,642.38x = 22,583,094,949.17
  5. Step 5: Solve for x
    x = 22,583,094,949.17/168,642.38
  6. Step 6: Final answer
    x = 133,911.15

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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.