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Finding the Fourth Proportional to 205,801.14, 283,915.46 and 120,879.92

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Solution

The fourth proportional to 205,801.14, 283,915.46 and 120,879.92 is: 166,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801.14 : 283,915.46 = 120,879.92 : x
  2. Step 2: Convert to fraction form
    205,801.14/283,915.46 = 120,879.92/x
  3. Step 3: Cross multiply
    205,801.14x = 283,915.46 × 120,879.92
  4. Step 4: Simplify right side
    205,801.14x = 34,319,678,091.56
  5. Step 5: Solve for x
    x = 34,319,678,091.56/205,801.14
  6. Step 6: Final answer
    x = 166,761.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.