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Finding the Fourth Proportional to 71,296.80, 106,945.20 and 65,767.20

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Solution

The fourth proportional to 71,296.80, 106,945.20 and 65,767.20 is: 98,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.80 : 106,945.20 = 65,767.20 : x
  2. Step 2: Convert to fraction form
    71,296.80/106,945.20 = 65,767.20/x
  3. Step 3: Cross multiply
    71,296.80x = 106,945.20 × 65,767.20
  4. Step 4: Simplify right side
    71,296.80x = 7,033,486,357.44
  5. Step 5: Solve for x
    x = 7,033,486,357.44/71,296.80
  6. Step 6: Final answer
    x = 98,650.80

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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.