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Finding the Fourth Proportional to 309,205.85, 463,874.97 and 95,969.30

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Solution

The fourth proportional to 309,205.85, 463,874.97 and 95,969.30 is: 143,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,205.85 : 463,874.97 = 95,969.30 : x
  2. Step 2: Convert to fraction form
    309,205.85/463,874.97 = 95,969.30/x
  3. Step 3: Cross multiply
    309,205.85x = 463,874.97 × 95,969.30
  4. Step 4: Simplify right side
    309,205.85x = 44,517,753,839.05
  5. Step 5: Solve for x
    x = 44,517,753,839.05/309,205.85
  6. Step 6: Final answer
    x = 143,974.49

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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.