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Finding the Fourth Proportional to 250,714.54, 376,083.96 and 82,219.96

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Solution

The fourth proportional to 250,714.54, 376,083.96 and 82,219.96 is: 123,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,714.54 : 376,083.96 = 82,219.96 : x
  2. Step 2: Convert to fraction form
    250,714.54/376,083.96 = 82,219.96/x
  3. Step 3: Cross multiply
    250,714.54x = 376,083.96 × 82,219.96
  4. Step 4: Simplify right side
    250,714.54x = 30,921,608,147.84
  5. Step 5: Solve for x
    x = 30,921,608,147.84/250,714.54
  6. Step 6: Final answer
    x = 123,333.92

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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.