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Finding the Fourth Proportional to 231,651.67, 347,702.21 and 111,792.98

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Solution

The fourth proportional to 231,651.67, 347,702.21 and 111,792.98 is: 167,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,651.67 : 347,702.21 = 111,792.98 : x
  2. Step 2: Convert to fraction form
    231,651.67/347,702.21 = 111,792.98/x
  3. Step 3: Cross multiply
    231,651.67x = 347,702.21 × 111,792.98
  4. Step 4: Simplify right side
    231,651.67x = 38,870,664,469.97
  5. Step 5: Solve for x
    x = 38,870,664,469.97/231,651.67
  6. Step 6: Final answer
    x = 167,797.90

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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.