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Finding the Fourth Proportional to 231,843.52, 319,629.92 and 198,213.26

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Solution

The fourth proportional to 231,843.52, 319,629.92 and 198,213.26 is: 273,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,843.52 : 319,629.92 = 198,213.26 : x
  2. Step 2: Convert to fraction form
    231,843.52/319,629.92 = 198,213.26/x
  3. Step 3: Cross multiply
    231,843.52x = 319,629.92 × 198,213.26
  4. Step 4: Simplify right side
    231,843.52x = 63,354,888,436.74
  5. Step 5: Solve for x
    x = 63,354,888,436.74/231,843.52
  6. Step 6: Final answer
    x = 273,265.73

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1.5x scale

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.