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Finding the Fourth Proportional to 78,538.60, 117,635.10 and 68,170.60

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Solution

The fourth proportional to 78,538.60, 117,635.10 and 68,170.60 is: 102,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,538.60 : 117,635.10 = 68,170.60 : x
  2. Step 2: Convert to fraction form
    78,538.60/117,635.10 = 68,170.60/x
  3. Step 3: Cross multiply
    78,538.60x = 117,635.10 × 68,170.60
  4. Step 4: Simplify right side
    78,538.60x = 8,019,255,348.06
  5. Step 5: Solve for x
    x = 8,019,255,348.06/78,538.60
  6. Step 6: Final answer
    x = 102,105.91

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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.