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Finding the Fourth Proportional to 282,245.80, 423,324.92 and 82,519.24

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Solution

The fourth proportional to 282,245.80, 423,324.92 and 82,519.24 is: 123,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,245.80 : 423,324.92 = 82,519.24 : x
  2. Step 2: Convert to fraction form
    282,245.80/423,324.92 = 82,519.24/x
  3. Step 3: Cross multiply
    282,245.80x = 423,324.92 × 82,519.24
  4. Step 4: Simplify right side
    282,245.80x = 34,932,450,671.46
  5. Step 5: Solve for x
    x = 34,932,450,671.46/282,245.80
  6. Step 6: Final answer
    x = 123,766.06

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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.