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Finding the Fourth Proportional to 263,877.78, 395,916.30 and 158,770.56

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Solution

The fourth proportional to 263,877.78, 395,916.30 and 158,770.56 is: 238,215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,877.78 : 395,916.30 = 158,770.56 : x
  2. Step 2: Convert to fraction form
    263,877.78/395,916.30 = 158,770.56/x
  3. Step 3: Cross multiply
    263,877.78x = 395,916.30 × 158,770.56
  4. Step 4: Simplify right side
    263,877.78x = 62,859,852,664.13
  5. Step 5: Solve for x
    x = 62,859,852,664.13/263,877.78
  6. Step 6: Final answer
    x = 238,215.79

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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.