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Finding the Fourth Proportional to 180,108.90, 270,168.82 and 61,778.53

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Solution

The fourth proportional to 180,108.90, 270,168.82 and 61,778.53 is: 92,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108.90 : 270,168.82 = 61,778.53 : x
  2. Step 2: Convert to fraction form
    180,108.90/270,168.82 = 61,778.53/x
  3. Step 3: Cross multiply
    180,108.90x = 270,168.82 × 61,778.53
  4. Step 4: Simplify right side
    180,108.90x = 16,690,632,734.70
  5. Step 5: Solve for x
    x = 16,690,632,734.70/180,108.90
  6. Step 6: Final answer
    x = 92,669.67

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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.