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Finding the Fourth Proportional to 204,793.60, 307,190.40 and 202,169.20

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Solution

The fourth proportional to 204,793.60, 307,190.40 and 202,169.20 is: 303,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,793.60 : 307,190.40 = 202,169.20 : x
  2. Step 2: Convert to fraction form
    204,793.60/307,190.40 = 202,169.20/x
  3. Step 3: Cross multiply
    204,793.60x = 307,190.40 × 202,169.20
  4. Step 4: Simplify right side
    204,793.60x = 62,104,437,415.68
  5. Step 5: Solve for x
    x = 62,104,437,415.68/204,793.60
  6. Step 6: Final answer
    x = 303,253.80

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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.