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Finding the Fourth Proportional to 204,201.91, 306,102.89 and 114,288.54

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Solution

The fourth proportional to 204,201.91, 306,102.89 and 114,288.54 is: 171,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,201.91 : 306,102.89 = 114,288.54 : x
  2. Step 2: Convert to fraction form
    204,201.91/306,102.89 = 114,288.54/x
  3. Step 3: Cross multiply
    204,201.91x = 306,102.89 × 114,288.54
  4. Step 4: Simplify right side
    204,201.91x = 34,984,050,857.37
  5. Step 5: Solve for x
    x = 34,984,050,857.37/204,201.91
  6. Step 6: Final answer
    x = 171,320.88

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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.