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Finding the Fourth Proportional to 263,779.38, 363,993.38 and 149,067.98

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Solution

The fourth proportional to 263,779.38, 363,993.38 and 149,067.98 is: 205,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,779.38 : 363,993.38 = 149,067.98 : x
  2. Step 2: Convert to fraction form
    263,779.38/363,993.38 = 149,067.98/x
  3. Step 3: Cross multiply
    263,779.38x = 363,993.38 × 149,067.98
  4. Step 4: Simplify right side
    263,779.38x = 54,259,757,889.97
  5. Step 5: Solve for x
    x = 54,259,757,889.97/263,779.38
  6. Step 6: Final answer
    x = 205,701.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.