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Finding the Fourth Proportional to 263,593.79, 363,761.16 and 142,735.09

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Solution

The fourth proportional to 263,593.79, 363,761.16 and 142,735.09 is: 196,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,593.79 : 363,761.16 = 142,735.09 : x
  2. Step 2: Convert to fraction form
    263,593.79/363,761.16 = 142,735.09/x
  3. Step 3: Cross multiply
    263,593.79x = 363,761.16 × 142,735.09
  4. Step 4: Simplify right side
    263,593.79x = 51,921,481,911.10
  5. Step 5: Solve for x
    x = 51,921,481,911.10/263,593.79
  6. Step 6: Final answer
    x = 196,975.36

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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.