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Finding the Fourth Proportional to 78,537.60, 117,633.60 and 68,169.60

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Solution

The fourth proportional to 78,537.60, 117,633.60 and 68,169.60 is: 102,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.60 : 117,633.60 = 68,169.60 : x
  2. Step 2: Convert to fraction form
    78,537.60/117,633.60 = 68,169.60/x
  3. Step 3: Cross multiply
    78,537.60x = 117,633.60 × 68,169.60
  4. Step 4: Simplify right side
    78,537.60x = 8,019,035,458.56
  5. Step 5: Solve for x
    x = 8,019,035,458.56/78,537.60
  6. Step 6: Final answer
    x = 102,104.41

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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.