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Finding the Fourth Proportional to 251,125.11, 376,742.22 and 82,662.54

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Solution

The fourth proportional to 251,125.11, 376,742.22 and 82,662.54 is: 124,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,125.11 : 376,742.22 = 82,662.54 : x
  2. Step 2: Convert to fraction form
    251,125.11/376,742.22 = 82,662.54/x
  3. Step 3: Cross multiply
    251,125.11x = 376,742.22 × 82,662.54
  4. Step 4: Simplify right side
    251,125.11x = 31,142,469,691.82
  5. Step 5: Solve for x
    x = 31,142,469,691.82/251,125.11
  6. Step 6: Final answer
    x = 124,011.77

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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.