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Finding the Fourth Proportional to 120,589.40, 166,413.82 and 66,879.38

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Solution

The fourth proportional to 120,589.40, 166,413.82 and 66,879.38 is: 92,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589.40 : 166,413.82 = 66,879.38 : x
  2. Step 2: Convert to fraction form
    120,589.40/166,413.82 = 66,879.38/x
  3. Step 3: Cross multiply
    120,589.40x = 166,413.82 × 66,879.38
  4. Step 4: Simplify right side
    120,589.40x = 11,129,653,105.03
  5. Step 5: Solve for x
    x = 11,129,653,105.03/120,589.40
  6. Step 6: Final answer
    x = 92,293.79

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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.