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Finding the Fourth Proportional to 120,159.30, 165,813.18 and 66,441.12

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Solution

The fourth proportional to 120,159.30, 165,813.18 and 66,441.12 is: 91,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,159.30 : 165,813.18 = 66,441.12 : x
  2. Step 2: Convert to fraction form
    120,159.30/165,813.18 = 66,441.12/x
  3. Step 3: Cross multiply
    120,159.30x = 165,813.18 × 66,441.12
  4. Step 4: Simplify right side
    120,159.30x = 11,016,813,389.96
  5. Step 5: Solve for x
    x = 11,016,813,389.96/120,159.30
  6. Step 6: Final answer
    x = 91,685.07

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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.