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Finding the Fourth Proportional to 204,007.44, 306,010.74 and 54,247.74

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Solution

The fourth proportional to 204,007.44, 306,010.74 and 54,247.74 is: 81,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,007.44 : 306,010.74 = 54,247.74 : x
  2. Step 2: Convert to fraction form
    204,007.44/306,010.74 = 54,247.74/x
  3. Step 3: Cross multiply
    204,007.44x = 306,010.74 × 54,247.74
  4. Step 4: Simplify right side
    204,007.44x = 16,600,391,060.73
  5. Step 5: Solve for x
    x = 16,600,391,060.73/204,007.44
  6. Step 6: Final answer
    x = 81,371.50

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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.