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Finding the Fourth Proportional to 110,708.10, 165,892.05 and 82,495.80

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Solution

The fourth proportional to 110,708.10, 165,892.05 and 82,495.80 is: 123,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,708.10 : 165,892.05 = 82,495.80 : x
  2. Step 2: Convert to fraction form
    110,708.10/165,892.05 = 82,495.80/x
  3. Step 3: Cross multiply
    110,708.10x = 165,892.05 × 82,495.80
  4. Step 4: Simplify right side
    110,708.10x = 13,685,397,378.39
  5. Step 5: Solve for x
    x = 13,685,397,378.39/110,708.10
  6. Step 6: Final answer
    x = 123,616.95

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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.