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Finding the Fourth Proportional to 203,698.50, 305,556.03 and 97,027.62

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Solution

The fourth proportional to 203,698.50, 305,556.03 and 97,027.62 is: 145,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,698.50 : 305,556.03 = 97,027.62 : x
  2. Step 2: Convert to fraction form
    203,698.50/305,556.03 = 97,027.62/x
  3. Step 3: Cross multiply
    203,698.50x = 305,556.03 × 97,027.62
  4. Step 4: Simplify right side
    203,698.50x = 29,647,374,367.55
  5. Step 5: Solve for x
    x = 29,647,374,367.55/203,698.50
  6. Step 6: Final answer
    x = 145,545.37

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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.