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Finding the Fourth Proportional to 120,420.16, 166,260.96 and 75,167.04

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Solution

The fourth proportional to 120,420.16, 166,260.96 and 75,167.04 is: 103,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.16 : 166,260.96 = 75,167.04 : x
  2. Step 2: Convert to fraction form
    120,420.16/166,260.96 = 75,167.04/x
  3. Step 3: Cross multiply
    120,420.16x = 166,260.96 × 75,167.04
  4. Step 4: Simplify right side
    120,420.16x = 12,497,344,230.76
  5. Step 5: Solve for x
    x = 12,497,344,230.76/120,420.16
  6. Step 6: Final answer
    x = 103,781.16

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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.