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Finding the Fourth Proportional to 263,738.67, 363,958.92 and 142,883.02

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Solution

The fourth proportional to 263,738.67, 363,958.92 and 142,883.02 is: 197,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,738.67 : 363,958.92 = 142,883.02 : x
  2. Step 2: Convert to fraction form
    263,738.67/363,958.92 = 142,883.02/x
  3. Step 3: Cross multiply
    263,738.67x = 363,958.92 × 142,883.02
  4. Step 4: Simplify right side
    263,738.67x = 52,003,550,100.49
  5. Step 5: Solve for x
    x = 52,003,550,100.49/263,738.67
  6. Step 6: Final answer
    x = 197,178.33

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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.