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Finding the Fourth Proportional to 263,862.78, 395,893.80 and 158,755.56

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Solution

The fourth proportional to 263,862.78, 395,893.80 and 158,755.56 is: 238,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,862.78 : 395,893.80 = 158,755.56 : x
  2. Step 2: Convert to fraction form
    263,862.78/395,893.80 = 158,755.56/x
  3. Step 3: Cross multiply
    263,862.78x = 395,893.80 × 158,755.56
  4. Step 4: Simplify right side
    263,862.78x = 62,850,341,919.53
  5. Step 5: Solve for x
    x = 62,850,341,919.53/263,862.78
  6. Step 6: Final answer
    x = 238,193.28

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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.