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Finding the Fourth Proportional to 110,842.70, 166,264.05 and 66,446.60

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Solution

The fourth proportional to 110,842.70, 166,264.05 and 66,446.60 is: 99,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,842.70 : 166,264.05 = 66,446.60 : x
  2. Step 2: Convert to fraction form
    110,842.70/166,264.05 = 66,446.60/x
  3. Step 3: Cross multiply
    110,842.70x = 166,264.05 × 66,446.60
  4. Step 4: Simplify right side
    110,842.70x = 11,047,680,824.73
  5. Step 5: Solve for x
    x = 11,047,680,824.73/110,842.70
  6. Step 6: Final answer
    x = 99,669.90

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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.