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Finding the Fourth Proportional to 271,638.84, 374,758.74 and 200,189.28

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Solution

The fourth proportional to 271,638.84, 374,758.74 and 200,189.28 is: 276,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,638.84 : 374,758.74 = 200,189.28 : x
  2. Step 2: Convert to fraction form
    271,638.84/374,758.74 = 200,189.28/x
  3. Step 3: Cross multiply
    271,638.84x = 374,758.74 × 200,189.28
  4. Step 4: Simplify right side
    271,638.84x = 75,022,682,334.31
  5. Step 5: Solve for x
    x = 75,022,682,334.31/271,638.84
  6. Step 6: Final answer
    x = 276,185.40

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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.