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Finding the Fourth Proportional to 120,156.30, 165,809 and 66,438.10

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Solution

The fourth proportional to 120,156.30, 165,809 and 66,438.10 is: 91,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.30 : 165,809 = 66,438.10 : x
  2. Step 2: Convert to fraction form
    120,156.30/165,809 = 66,438.10/x
  3. Step 3: Cross multiply
    120,156.30x = 165,809 × 66,438.10
  4. Step 4: Simplify right side
    120,156.30x = 11,016,034,922.90
  5. Step 5: Solve for x
    x = 11,016,034,922.90/120,156.30
  6. Step 6: Final answer
    x = 91,680.88

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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.