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Finding the Fourth Proportional to 234,512.24, 323,700.38 and 149,629.16

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Solution

The fourth proportional to 234,512.24, 323,700.38 and 149,629.16 is: 206,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,512.24 : 323,700.38 = 149,629.16 : x
  2. Step 2: Convert to fraction form
    234,512.24/323,700.38 = 149,629.16/x
  3. Step 3: Cross multiply
    234,512.24x = 323,700.38 × 149,629.16
  4. Step 4: Simplify right side
    234,512.24x = 48,435,015,951.08
  5. Step 5: Solve for x
    x = 48,435,015,951.08/234,512.24
  6. Step 6: Final answer
    x = 206,535.13

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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.