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Finding the Fourth Proportional to 110,769, 166,222.62 and 45,105

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Solution

The fourth proportional to 110,769, 166,222.62 and 45,105 is: 67,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,769 : 166,222.62 = 45,105 : x
  2. Step 2: Convert to fraction form
    110,769/166,222.62 = 45,105/x
  3. Step 3: Cross multiply
    110,769x = 166,222.62 × 45,105
  4. Step 4: Simplify right side
    110,769x = 7,497,471,275.10
  5. Step 5: Solve for x
    x = 7,497,471,275.10/110,769
  6. Step 6: Final answer
    x = 67,685.65

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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.