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Finding the Fourth Proportional to 303,851.92, 419,279.88 and 167,877.76

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Solution

The fourth proportional to 303,851.92, 419,279.88 and 167,877.76 is: 231,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,851.92 : 419,279.88 = 167,877.76 : x
  2. Step 2: Convert to fraction form
    303,851.92/419,279.88 = 167,877.76/x
  3. Step 3: Cross multiply
    303,851.92x = 419,279.88 × 167,877.76
  4. Step 4: Simplify right side
    303,851.92x = 70,387,767,067.47
  5. Step 5: Solve for x
    x = 70,387,767,067.47/303,851.92
  6. Step 6: Final answer
    x = 231,651.55

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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.