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Finding the Fourth Proportional to 120,216.57, 165,911.23 and 69,231.23

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Solution

The fourth proportional to 120,216.57, 165,911.23 and 69,231.23 is: 95,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,216.57 : 165,911.23 = 69,231.23 : x
  2. Step 2: Convert to fraction form
    120,216.57/165,911.23 = 69,231.23/x
  3. Step 3: Cross multiply
    120,216.57x = 165,911.23 × 69,231.23
  4. Step 4: Simplify right side
    120,216.57x = 11,486,238,523.71
  5. Step 5: Solve for x
    x = 11,486,238,523.71/120,216.57
  6. Step 6: Final answer
    x = 95,546.22

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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.