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Finding the Fourth Proportional to 251,300.71, 376,997.75 and 82,832.86

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Solution

The fourth proportional to 251,300.71, 376,997.75 and 82,832.86 is: 124,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,300.71 : 376,997.75 = 82,832.86 : x
  2. Step 2: Convert to fraction form
    251,300.71/376,997.75 = 82,832.86/x
  3. Step 3: Cross multiply
    251,300.71x = 376,997.75 × 82,832.86
  4. Step 4: Simplify right side
    251,300.71x = 31,227,801,110.65
  5. Step 5: Solve for x
    x = 31,227,801,110.65/251,300.71
  6. Step 6: Final answer
    x = 124,264.68

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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.