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Finding the Fourth Proportional to 95,891.78, 143,452.23 and 82,883.78

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Solution

The fourth proportional to 95,891.78, 143,452.23 and 82,883.78 is: 123,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,891.78 : 143,452.23 = 82,883.78 : x
  2. Step 2: Convert to fraction form
    95,891.78/143,452.23 = 82,883.78/x
  3. Step 3: Cross multiply
    95,891.78x = 143,452.23 × 82,883.78
  4. Step 4: Simplify right side
    95,891.78x = 11,889,863,071.83
  5. Step 5: Solve for x
    x = 11,889,863,071.83/95,891.78
  6. Step 6: Final answer
    x = 123,992.52

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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.