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Finding the Fourth Proportional to 120,098.24, 165,745.80 and 69,794

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Solution

The fourth proportional to 120,098.24, 165,745.80 and 69,794 is: 96,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.24 : 165,745.80 = 69,794 : x
  2. Step 2: Convert to fraction form
    120,098.24/165,745.80 = 69,794/x
  3. Step 3: Cross multiply
    120,098.24x = 165,745.80 × 69,794
  4. Step 4: Simplify right side
    120,098.24x = 11,568,062,365.20
  5. Step 5: Solve for x
    x = 11,568,062,365.20/120,098.24
  6. Step 6: Final answer
    x = 96,321.66

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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.