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Finding the Fourth Proportional to 106,142.40, 159,213.60 and 68,744.70

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Solution

The fourth proportional to 106,142.40, 159,213.60 and 68,744.70 is: 103,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142.40 : 159,213.60 = 68,744.70 : x
  2. Step 2: Convert to fraction form
    106,142.40/159,213.60 = 68,744.70/x
  3. Step 3: Cross multiply
    106,142.40x = 159,213.60 × 68,744.70
  4. Step 4: Simplify right side
    106,142.40x = 10,945,091,167.92
  5. Step 5: Solve for x
    x = 10,945,091,167.92/106,142.40
  6. Step 6: Final answer
    x = 103,117.05

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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.