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Finding the Fourth Proportional to 262,231.98, 393,239.53 and 82,257.37

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Solution

The fourth proportional to 262,231.98, 393,239.53 and 82,257.37 is: 123,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,231.98 : 393,239.53 = 82,257.37 : x
  2. Step 2: Convert to fraction form
    262,231.98/393,239.53 = 82,257.37/x
  3. Step 3: Cross multiply
    262,231.98x = 393,239.53 × 82,257.37
  4. Step 4: Simplify right side
    262,231.98x = 32,346,850,295.29
  5. Step 5: Solve for x
    x = 32,346,850,295.29/262,231.98
  6. Step 6: Final answer
    x = 123,352.04

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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.