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Finding the Fourth Proportional to 263,616.81, 363,789.39 and 142,755.33

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Solution

The fourth proportional to 263,616.81, 363,789.39 and 142,755.33 is: 197,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,616.81 : 363,789.39 = 142,755.33 : x
  2. Step 2: Convert to fraction form
    263,616.81/363,789.39 = 142,755.33/x
  3. Step 3: Cross multiply
    263,616.81x = 363,789.39 × 142,755.33
  4. Step 4: Simplify right side
    263,616.81x = 51,932,874,419.95
  5. Step 5: Solve for x
    x = 51,932,874,419.95/263,616.81
  6. Step 6: Final answer
    x = 197,001.38

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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.