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Finding the Fourth Proportional to 204,494.82, 306,737.72 and 54,735.09

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Solution

The fourth proportional to 204,494.82, 306,737.72 and 54,735.09 is: 82,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.82 : 306,737.72 = 54,735.09 : x
  2. Step 2: Convert to fraction form
    204,494.82/306,737.72 = 54,735.09/x
  3. Step 3: Cross multiply
    204,494.82x = 306,737.72 × 54,735.09
  4. Step 4: Simplify right side
    204,494.82x = 16,789,316,710.59
  5. Step 5: Solve for x
    x = 16,789,316,710.59/204,494.82
  6. Step 6: Final answer
    x = 82,101.43

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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.