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Finding the Fourth Proportional to 201,099.20, 301,627.20 and 53,355.20

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Solution

The fourth proportional to 201,099.20, 301,627.20 and 53,355.20 is: 80,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099.20 : 301,627.20 = 53,355.20 : x
  2. Step 2: Convert to fraction form
    201,099.20/301,627.20 = 53,355.20/x
  3. Step 3: Cross multiply
    201,099.20x = 301,627.20 × 53,355.20
  4. Step 4: Simplify right side
    201,099.20x = 16,093,379,581.44
  5. Step 5: Solve for x
    x = 16,093,379,581.44/201,099.20
  6. Step 6: Final answer
    x = 80,027.07

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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.