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Finding the Fourth Proportional to 277,184.78, 382,515.16 and 149,861.30

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Solution

The fourth proportional to 277,184.78, 382,515.16 and 149,861.30 is: 206,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184.78 : 382,515.16 = 149,861.30 : x
  2. Step 2: Convert to fraction form
    277,184.78/382,515.16 = 149,861.30/x
  3. Step 3: Cross multiply
    277,184.78x = 382,515.16 × 149,861.30
  4. Step 4: Simplify right side
    277,184.78x = 57,324,219,147.31
  5. Step 5: Solve for x
    x = 57,324,219,147.31/277,184.78
  6. Step 6: Final answer
    x = 206,808.68

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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.