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Finding the Fourth Proportional to 120,116.14, 165,760.32 and 66,401.17

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Solution

The fourth proportional to 120,116.14, 165,760.32 and 66,401.17 is: 91,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,116.14 : 165,760.32 = 66,401.17 : x
  2. Step 2: Convert to fraction form
    120,116.14/165,760.32 = 66,401.17/x
  3. Step 3: Cross multiply
    120,116.14x = 165,760.32 × 66,401.17
  4. Step 4: Simplify right side
    120,116.14x = 11,006,679,187.57
  5. Step 5: Solve for x
    x = 11,006,679,187.57/120,116.14
  6. Step 6: Final answer
    x = 91,633.64

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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.