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Finding the Fourth Proportional to 180,510.90, 270,691.83 and 68,172

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Solution

The fourth proportional to 180,510.90, 270,691.83 and 68,172 is: 102,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,510.90 : 270,691.83 = 68,172 : x
  2. Step 2: Convert to fraction form
    180,510.90/270,691.83 = 68,172/x
  3. Step 3: Cross multiply
    180,510.90x = 270,691.83 × 68,172
  4. Step 4: Simplify right side
    180,510.90x = 18,453,603,434.76
  5. Step 5: Solve for x
    x = 18,453,603,434.76/180,510.90
  6. Step 6: Final answer
    x = 102,229.86

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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.