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Finding the Fourth Proportional to 201,235.21, 301,991.22 and 82,906.55

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Solution

The fourth proportional to 201,235.21, 301,991.22 and 82,906.55 is: 124,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,235.21 : 301,991.22 = 82,906.55 : x
  2. Step 2: Convert to fraction form
    201,235.21/301,991.22 = 82,906.55/x
  3. Step 3: Cross multiply
    201,235.21x = 301,991.22 × 82,906.55
  4. Step 4: Simplify right side
    201,235.21x = 25,037,049,765.96
  5. Step 5: Solve for x
    x = 25,037,049,765.96/201,235.21
  6. Step 6: Final answer
    x = 124,416.84

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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.