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Finding the Fourth Proportional to 247,843.01, 342,022.14 and 140,412.80

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Solution

The fourth proportional to 247,843.01, 342,022.14 and 140,412.80 is: 193,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,843.01 : 342,022.14 = 140,412.80 : x
  2. Step 2: Convert to fraction form
    247,843.01/342,022.14 = 140,412.80/x
  3. Step 3: Cross multiply
    247,843.01x = 342,022.14 × 140,412.80
  4. Step 4: Simplify right side
    247,843.01x = 48,024,284,629.28
  5. Step 5: Solve for x
    x = 48,024,284,629.28/247,843.01
  6. Step 6: Final answer
    x = 193,768.97

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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.