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Finding the Fourth Proportional to 106,132.68, 159,200.64 and 27,245.16

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Solution

The fourth proportional to 106,132.68, 159,200.64 and 27,245.16 is: 40,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,132.68 : 159,200.64 = 27,245.16 : x
  2. Step 2: Convert to fraction form
    106,132.68/159,200.64 = 27,245.16/x
  3. Step 3: Cross multiply
    106,132.68x = 159,200.64 × 27,245.16
  4. Step 4: Simplify right side
    106,132.68x = 4,337,446,908.90
  5. Step 5: Solve for x
    x = 4,337,446,908.90/106,132.68
  6. Step 6: Final answer
    x = 40,868.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.