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Finding the Fourth Proportional to 234,493.08, 323,585.07 and 149,601

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Solution

The fourth proportional to 234,493.08, 323,585.07 and 149,601 is: 206,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,493.08 : 323,585.07 = 149,601 : x
  2. Step 2: Convert to fraction form
    234,493.08/323,585.07 = 149,601/x
  3. Step 3: Cross multiply
    234,493.08x = 323,585.07 × 149,601
  4. Step 4: Simplify right side
    234,493.08x = 48,408,650,057.07
  5. Step 5: Solve for x
    x = 48,408,650,057.07/234,493.08
  6. Step 6: Final answer
    x = 206,439.57

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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.