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Finding the Fourth Proportional to 110,775, 166,231.62 and 45,111

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Solution

The fourth proportional to 110,775, 166,231.62 and 45,111 is: 67,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,775 : 166,231.62 = 45,111 : x
  2. Step 2: Convert to fraction form
    110,775/166,231.62 = 45,111/x
  3. Step 3: Cross multiply
    110,775x = 166,231.62 × 45,111
  4. Step 4: Simplify right side
    110,775x = 7,498,874,609.82
  5. Step 5: Solve for x
    x = 7,498,874,609.82/110,775
  6. Step 6: Final answer
    x = 67,694.65

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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.