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Finding the Fourth Proportional to 203,895.40, 305,843.10 and 185,524.60

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Solution

The fourth proportional to 203,895.40, 305,843.10 and 185,524.60 is: 278,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,895.40 : 305,843.10 = 185,524.60 : x
  2. Step 2: Convert to fraction form
    203,895.40/305,843.10 = 185,524.60/x
  3. Step 3: Cross multiply
    203,895.40x = 305,843.10 × 185,524.60
  4. Step 4: Simplify right side
    203,895.40x = 56,741,418,790.26
  5. Step 5: Solve for x
    x = 56,741,418,790.26/203,895.40
  6. Step 6: Final answer
    x = 278,286.90

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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.