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Finding the Fourth Proportional to 204,509.37, 306,759.45 and 54,749.55

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Solution

The fourth proportional to 204,509.37, 306,759.45 and 54,749.55 is: 82,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,509.37 : 306,759.45 = 54,749.55 : x
  2. Step 2: Convert to fraction form
    204,509.37/306,759.45 = 54,749.55/x
  3. Step 3: Cross multiply
    204,509.37x = 306,759.45 × 54,749.55
  4. Step 4: Simplify right side
    204,509.37x = 16,794,941,845.75
  5. Step 5: Solve for x
    x = 16,794,941,845.75/204,509.37
  6. Step 6: Final answer
    x = 82,123.09

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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.