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Finding the Fourth Proportional to 199,792.50, 275,709.11 and 109,148.85

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Solution

The fourth proportional to 199,792.50, 275,709.11 and 109,148.85 is: 150,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792.50 : 275,709.11 = 109,148.85 : x
  2. Step 2: Convert to fraction form
    199,792.50/275,709.11 = 109,148.85/x
  3. Step 3: Cross multiply
    199,792.50x = 275,709.11 × 109,148.85
  4. Step 4: Simplify right side
    199,792.50x = 30,093,331,745.28
  5. Step 5: Solve for x
    x = 30,093,331,745.28/199,792.50
  6. Step 6: Final answer
    x = 150,622.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.