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Finding the Fourth Proportional to 201,441.20, 301,902.60 and 122,471.60

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Solution

The fourth proportional to 201,441.20, 301,902.60 and 122,471.60 is: 183,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,441.20 : 301,902.60 = 122,471.60 : x
  2. Step 2: Convert to fraction form
    201,441.20/301,902.60 = 122,471.60/x
  3. Step 3: Cross multiply
    201,441.20x = 301,902.60 × 122,471.60
  4. Step 4: Simplify right side
    201,441.20x = 36,974,494,466.16
  5. Step 5: Solve for x
    x = 36,974,494,466.16/201,441.20
  6. Step 6: Final answer
    x = 183,549.81

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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.