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Finding the Fourth Proportional to 277,183.20, 382,513.12 and 149,858.80

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Solution

The fourth proportional to 277,183.20, 382,513.12 and 149,858.80 is: 206,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,183.20 : 382,513.12 = 149,858.80 : x
  2. Step 2: Convert to fraction form
    277,183.20/382,513.12 = 149,858.80/x
  3. Step 3: Cross multiply
    277,183.20x = 382,513.12 × 149,858.80
  4. Step 4: Simplify right side
    277,183.20x = 57,322,957,147.46
  5. Step 5: Solve for x
    x = 57,322,957,147.46/277,183.20
  6. Step 6: Final answer
    x = 206,805.31

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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.