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Finding the Fourth Proportional to 263,743.54, 363,965.54 and 142,887.80

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Solution

The fourth proportional to 263,743.54, 363,965.54 and 142,887.80 is: 197,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,743.54 : 363,965.54 = 142,887.80 : x
  2. Step 2: Convert to fraction form
    263,743.54/363,965.54 = 142,887.80/x
  3. Step 3: Cross multiply
    263,743.54x = 363,965.54 × 142,887.80
  4. Step 4: Simplify right side
    263,743.54x = 52,006,235,286.41
  5. Step 5: Solve for x
    x = 52,006,235,286.41/263,743.54
  6. Step 6: Final answer
    x = 197,184.87

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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.