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Finding the Fourth Proportional to 251,134.24, 376,659.96 and 82,656.76

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Solution

The fourth proportional to 251,134.24, 376,659.96 and 82,656.76 is: 123,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,134.24 : 376,659.96 = 82,656.76 : x
  2. Step 2: Convert to fraction form
    251,134.24/376,659.96 = 82,656.76/x
  3. Step 3: Cross multiply
    251,134.24x = 376,659.96 × 82,656.76
  4. Step 4: Simplify right side
    251,134.24x = 31,133,491,915.33
  5. Step 5: Solve for x
    x = 31,133,491,915.33/251,134.24
  6. Step 6: Final answer
    x = 123,971.51

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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.