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Finding the Fourth Proportional to 180,137.49, 270,165.11 and 67,829.55

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Solution

The fourth proportional to 180,137.49, 270,165.11 and 67,829.55 is: 101,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,137.49 : 270,165.11 = 67,829.55 : x
  2. Step 2: Convert to fraction form
    180,137.49/270,165.11 = 67,829.55/x
  3. Step 3: Cross multiply
    180,137.49x = 270,165.11 × 67,829.55
  4. Step 4: Simplify right side
    180,137.49x = 18,325,177,497.85
  5. Step 5: Solve for x
    x = 18,325,177,497.85/180,137.49
  6. Step 6: Final answer
    x = 101,728.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.