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Finding the Fourth Proportional to 300,216.38, 414,311.56 and 166,080.38

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Solution

The fourth proportional to 300,216.38, 414,311.56 and 166,080.38 is: 229,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,216.38 : 414,311.56 = 166,080.38 : x
  2. Step 2: Convert to fraction form
    300,216.38/414,311.56 = 166,080.38/x
  3. Step 3: Cross multiply
    300,216.38x = 414,311.56 × 166,080.38
  4. Step 4: Simplify right side
    300,216.38x = 68,809,018,836.43
  5. Step 5: Solve for x
    x = 68,809,018,836.43/300,216.38
  6. Step 6: Final answer
    x = 229,198.09

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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.