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Finding the Fourth Proportional to 263,709.14, 363,920.38 and 142,850.44

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Solution

The fourth proportional to 263,709.14, 363,920.38 and 142,850.44 is: 197,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,709.14 : 363,920.38 = 142,850.44 : x
  2. Step 2: Convert to fraction form
    263,709.14/363,920.38 = 142,850.44/x
  3. Step 3: Cross multiply
    263,709.14x = 363,920.38 × 142,850.44
  4. Step 4: Simplify right side
    263,709.14x = 51,986,186,407.97
  5. Step 5: Solve for x
    x = 51,986,186,407.97/263,709.14
  6. Step 6: Final answer
    x = 197,134.56

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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.