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Finding the Fourth Proportional to 263,194.38, 362,781.67 and 205,732.17

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Solution

The fourth proportional to 263,194.38, 362,781.67 and 205,732.17 is: 283,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,194.38 : 362,781.67 = 205,732.17 : x
  2. Step 2: Convert to fraction form
    263,194.38/362,781.67 = 205,732.17/x
  3. Step 3: Cross multiply
    263,194.38x = 362,781.67 × 205,732.17
  4. Step 4: Simplify right side
    263,194.38x = 74,635,860,205.32
  5. Step 5: Solve for x
    x = 74,635,860,205.32/263,194.38
  6. Step 6: Final answer
    x = 283,576.95

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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.