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Finding the Fourth Proportional to 263,202.87, 363,218.88 and 142,344.27

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Solution

The fourth proportional to 263,202.87, 363,218.88 and 142,344.27 is: 196,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,202.87 : 363,218.88 = 142,344.27 : x
  2. Step 2: Convert to fraction form
    263,202.87/363,218.88 = 142,344.27/x
  3. Step 3: Cross multiply
    263,202.87x = 363,218.88 × 142,344.27
  4. Step 4: Simplify right side
    263,202.87x = 51,702,126,323.82
  5. Step 5: Solve for x
    x = 51,702,126,323.82/263,202.87
  6. Step 6: Final answer
    x = 196,434.51

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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.