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Finding the Fourth Proportional to 250,721.66, 376,118.24 and 82,255.14

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Solution

The fourth proportional to 250,721.66, 376,118.24 and 82,255.14 is: 123,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,721.66 : 376,118.24 = 82,255.14 : x
  2. Step 2: Convert to fraction form
    250,721.66/376,118.24 = 82,255.14/x
  3. Step 3: Cross multiply
    250,721.66x = 376,118.24 × 82,255.14
  4. Step 4: Simplify right side
    250,721.66x = 30,937,658,487.75
  5. Step 5: Solve for x
    x = 30,937,658,487.75/250,721.66
  6. Step 6: Final answer
    x = 123,394.44

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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.