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Finding the Fourth Proportional to 199,189.84, 274,878.36 and 108,546.56

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Solution

The fourth proportional to 199,189.84, 274,878.36 and 108,546.56 is: 149,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,189.84 : 274,878.36 = 108,546.56 : x
  2. Step 2: Convert to fraction form
    199,189.84/274,878.36 = 108,546.56/x
  3. Step 3: Cross multiply
    199,189.84x = 274,878.36 × 108,546.56
  4. Step 4: Simplify right side
    199,189.84x = 29,837,100,396.44
  5. Step 5: Solve for x
    x = 29,837,100,396.44/199,189.84
  6. Step 6: Final answer
    x = 149,792.28

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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.