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Finding the Fourth Proportional to 204,037.60, 305,757.60 and 182,977.60

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Solution

The fourth proportional to 204,037.60, 305,757.60 and 182,977.60 is: 274,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,037.60 : 305,757.60 = 182,977.60 : x
  2. Step 2: Convert to fraction form
    204,037.60/305,757.60 = 182,977.60/x
  3. Step 3: Cross multiply
    204,037.60x = 305,757.60 × 182,977.60
  4. Step 4: Simplify right side
    204,037.60x = 55,946,791,829.76
  5. Step 5: Solve for x
    x = 55,946,791,829.76/204,037.60
  6. Step 6: Final answer
    x = 274,198.44

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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.