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Finding the Fourth Proportional to 120,231.30, 165,910.05 and 66,515.17

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Solution

The fourth proportional to 120,231.30, 165,910.05 and 66,515.17 is: 91,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,231.30 : 165,910.05 = 66,515.17 : x
  2. Step 2: Convert to fraction form
    120,231.30/165,910.05 = 66,515.17/x
  3. Step 3: Cross multiply
    120,231.30x = 165,910.05 × 66,515.17
  4. Step 4: Simplify right side
    120,231.30x = 11,035,534,765.68
  5. Step 5: Solve for x
    x = 11,035,534,765.68/120,231.30
  6. Step 6: Final answer
    x = 91,785.87

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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.