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Finding the Fourth Proportional to 205,540.88, 283,654.68 and 119,499.44

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Solution

The fourth proportional to 205,540.88, 283,654.68 and 119,499.44 is: 164,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,540.88 : 283,654.68 = 119,499.44 : x
  2. Step 2: Convert to fraction form
    205,540.88/283,654.68 = 119,499.44/x
  3. Step 3: Cross multiply
    205,540.88x = 283,654.68 × 119,499.44
  4. Step 4: Simplify right side
    205,540.88x = 33,896,575,413.38
  5. Step 5: Solve for x
    x = 33,896,575,413.38/205,540.88
  6. Step 6: Final answer
    x = 164,914.03

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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.