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Finding the Fourth Proportional to 263,568.09, 363,723.42 and 142,709.49

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Solution

The fourth proportional to 263,568.09, 363,723.42 and 142,709.49 is: 196,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,568.09 : 363,723.42 = 142,709.49 : x
  2. Step 2: Convert to fraction form
    263,568.09/363,723.42 = 142,709.49/x
  3. Step 3: Cross multiply
    263,568.09x = 363,723.42 × 142,709.49
  4. Step 4: Simplify right side
    263,568.09x = 51,906,783,769.26
  5. Step 5: Solve for x
    x = 51,906,783,769.26/263,568.09
  6. Step 6: Final answer
    x = 196,938.80

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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.