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Finding the Fourth Proportional to 204,584, 306,879.84 and 56,843.84

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Solution

The fourth proportional to 204,584, 306,879.84 and 56,843.84 is: 85,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,584 : 306,879.84 = 56,843.84 : x
  2. Step 2: Convert to fraction form
    204,584/306,879.84 = 56,843.84/x
  3. Step 3: Cross multiply
    204,584x = 306,879.84 × 56,843.84
  4. Step 4: Simplify right side
    204,584x = 17,444,228,524.19
  5. Step 5: Solve for x
    x = 17,444,228,524.19/204,584
  6. Step 6: Final answer
    x = 85,266.83

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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.