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Finding the Fourth Proportional to 231,777.78, 347,822.46 and 82,017.45

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Solution

The fourth proportional to 231,777.78, 347,822.46 and 82,017.45 is: 123,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,777.78 : 347,822.46 = 82,017.45 : x
  2. Step 2: Convert to fraction form
    231,777.78/347,822.46 = 82,017.45/x
  3. Step 3: Cross multiply
    231,777.78x = 347,822.46 × 82,017.45
  4. Step 4: Simplify right side
    231,777.78x = 28,527,511,221.93
  5. Step 5: Solve for x
    x = 28,527,511,221.93/231,777.78
  6. Step 6: Final answer
    x = 123,081.30

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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.