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Finding the Fourth Proportional to 204,424.56, 282,147.84 and 119,562.48

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Solution

The fourth proportional to 204,424.56, 282,147.84 and 119,562.48 is: 165,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424.56 : 282,147.84 = 119,562.48 : x
  2. Step 2: Convert to fraction form
    204,424.56/282,147.84 = 119,562.48/x
  3. Step 3: Cross multiply
    204,424.56x = 282,147.84 × 119,562.48
  4. Step 4: Simplify right side
    204,424.56x = 33,734,295,477.04
  5. Step 5: Solve for x
    x = 33,734,295,477.04/204,424.56
  6. Step 6: Final answer
    x = 165,020.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.