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Finding the Fourth Proportional to 263,273.44, 363,315.84 and 142,414.56

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Solution

The fourth proportional to 263,273.44, 363,315.84 and 142,414.56 is: 196,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,273.44 : 363,315.84 = 142,414.56 : x
  2. Step 2: Convert to fraction form
    263,273.44/363,315.84 = 142,414.56/x
  3. Step 3: Cross multiply
    263,273.44x = 363,315.84 × 142,414.56
  4. Step 4: Simplify right side
    263,273.44x = 51,741,465,494.63
  5. Step 5: Solve for x
    x = 51,741,465,494.63/263,273.44
  6. Step 6: Final answer
    x = 196,531.28

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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.