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Finding the Fourth Proportional to 204,408.63, 306,589.59 and 54,660.60

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Solution

The fourth proportional to 204,408.63, 306,589.59 and 54,660.60 is: 81,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,408.63 : 306,589.59 = 54,660.60 : x
  2. Step 2: Convert to fraction form
    204,408.63/306,589.59 = 54,660.60/x
  3. Step 3: Cross multiply
    204,408.63x = 306,589.59 × 54,660.60
  4. Step 4: Simplify right side
    204,408.63x = 16,758,370,943.15
  5. Step 5: Solve for x
    x = 16,758,370,943.15/204,408.63
  6. Step 6: Final answer
    x = 81,984.65

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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.