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Finding the Fourth Proportional to 300,169.52, 414,234.78 and 166,033.52

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Solution

The fourth proportional to 300,169.52, 414,234.78 and 166,033.52 is: 229,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,169.52 : 414,234.78 = 166,033.52 : x
  2. Step 2: Convert to fraction form
    300,169.52/414,234.78 = 166,033.52/x
  3. Step 3: Cross multiply
    300,169.52x = 414,234.78 × 166,033.52
  4. Step 4: Simplify right side
    300,169.52x = 68,776,858,629.83
  5. Step 5: Solve for x
    x = 68,776,858,629.83/300,169.52
  6. Step 6: Final answer
    x = 229,126.72

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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.