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Finding the Fourth Proportional to 263,882.78, 395,923.80 and 158,775.56

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Solution

The fourth proportional to 263,882.78, 395,923.80 and 158,775.56 is: 238,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,882.78 : 395,923.80 = 158,775.56 : x
  2. Step 2: Convert to fraction form
    263,882.78/395,923.80 = 158,775.56/x
  3. Step 3: Cross multiply
    263,882.78x = 395,923.80 × 158,775.56
  4. Step 4: Simplify right side
    263,882.78x = 62,863,023,062.33
  5. Step 5: Solve for x
    x = 62,863,023,062.33/263,882.78
  6. Step 6: Final answer
    x = 238,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.