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Finding the Fourth Proportional to 203,847.40, 305,771.10 and 195,682.60

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Solution

The fourth proportional to 203,847.40, 305,771.10 and 195,682.60 is: 293,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,847.40 : 305,771.10 = 195,682.60 : x
  2. Step 2: Convert to fraction form
    203,847.40/305,771.10 = 195,682.60/x
  3. Step 3: Cross multiply
    203,847.40x = 305,771.10 × 195,682.60
  4. Step 4: Simplify right side
    203,847.40x = 59,834,083,852.86
  5. Step 5: Solve for x
    x = 59,834,083,852.86/203,847.40
  6. Step 6: Final answer
    x = 293,523.90

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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.