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Finding the Fourth Proportional to 201,223.30, 301,725.60 and 82,906.60

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Solution

The fourth proportional to 201,223.30, 301,725.60 and 82,906.60 is: 124,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,223.30 : 301,725.60 = 82,906.60 : x
  2. Step 2: Convert to fraction form
    201,223.30/301,725.60 = 82,906.60/x
  3. Step 3: Cross multiply
    201,223.30x = 301,725.60 × 82,906.60
  4. Step 4: Simplify right side
    201,223.30x = 25,015,043,628.96
  5. Step 5: Solve for x
    x = 25,015,043,628.96/201,223.30
  6. Step 6: Final answer
    x = 124,314.85

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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.