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Finding the Fourth Proportional to 276,884.78, 382,101.01 and 149,560.38

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Solution

The fourth proportional to 276,884.78, 382,101.01 and 149,560.38 is: 206,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,884.78 : 382,101.01 = 149,560.38 : x
  2. Step 2: Convert to fraction form
    276,884.78/382,101.01 = 149,560.38/x
  3. Step 3: Cross multiply
    276,884.78x = 382,101.01 × 149,560.38
  4. Step 4: Simplify right side
    276,884.78x = 57,147,171,880.08
  5. Step 5: Solve for x
    x = 57,147,171,880.08/276,884.78
  6. Step 6: Final answer
    x = 206,393.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.