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Finding the Fourth Proportional to 204,057.60, 305,787.60 and 182,997.60

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Solution

The fourth proportional to 204,057.60, 305,787.60 and 182,997.60 is: 274,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057.60 : 305,787.60 = 182,997.60 : x
  2. Step 2: Convert to fraction form
    204,057.60/305,787.60 = 182,997.60/x
  3. Step 3: Cross multiply
    204,057.60x = 305,787.60 × 182,997.60
  4. Step 4: Simplify right side
    204,057.60x = 55,958,396,909.76
  5. Step 5: Solve for x
    x = 55,958,396,909.76/204,057.60
  6. Step 6: Final answer
    x = 274,228.44

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1.5x scale

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.