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Finding the Fourth Proportional to 102,149.10, 140,812.12 and 80,601.68

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Solution

The fourth proportional to 102,149.10, 140,812.12 and 80,601.68 is: 111,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.10 : 140,812.12 = 80,601.68 : x
  2. Step 2: Convert to fraction form
    102,149.10/140,812.12 = 80,601.68/x
  3. Step 3: Cross multiply
    102,149.10x = 140,812.12 × 80,601.68
  4. Step 4: Simplify right side
    102,149.10x = 11,349,693,889.14
  5. Step 5: Solve for x
    x = 11,349,693,889.14/102,149.10
  6. Step 6: Final answer
    x = 111,109.09

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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.