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Finding the Fourth Proportional to 201,138.40, 301,270.20 and 122,114.80

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Solution

The fourth proportional to 201,138.40, 301,270.20 and 122,114.80 is: 182,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.40 : 301,270.20 = 122,114.80 : x
  2. Step 2: Convert to fraction form
    201,138.40/301,270.20 = 122,114.80/x
  3. Step 3: Cross multiply
    201,138.40x = 301,270.20 × 122,114.80
  4. Step 4: Simplify right side
    201,138.40x = 36,789,550,218.96
  5. Step 5: Solve for x
    x = 36,789,550,218.96/201,138.40
  6. Step 6: Final answer
    x = 182,906.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.