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Finding the Fourth Proportional to 204,548.44, 306,404.37 and 166,732.48

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Solution

The fourth proportional to 204,548.44, 306,404.37 and 166,732.48 is: 249,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548.44 : 306,404.37 = 166,732.48 : x
  2. Step 2: Convert to fraction form
    204,548.44/306,404.37 = 166,732.48/x
  3. Step 3: Cross multiply
    204,548.44x = 306,404.37 × 166,732.48
  4. Step 4: Simplify right side
    204,548.44x = 51,087,558,960.92
  5. Step 5: Solve for x
    x = 51,087,558,960.92/204,548.44
  6. Step 6: Final answer
    x = 249,757.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.