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Finding the Fourth Proportional to 204,214.80, 305,884.80 and 169,222.80

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Solution

The fourth proportional to 204,214.80, 305,884.80 and 169,222.80 is: 253,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,214.80 : 305,884.80 = 169,222.80 : x
  2. Step 2: Convert to fraction form
    204,214.80/305,884.80 = 169,222.80/x
  3. Step 3: Cross multiply
    204,214.80x = 305,884.80 × 169,222.80
  4. Step 4: Simplify right side
    204,214.80x = 51,762,682,333.44
  5. Step 5: Solve for x
    x = 51,762,682,333.44/204,214.80
  6. Step 6: Final answer
    x = 253,471.75

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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.