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Finding the Fourth Proportional to 281,859.20, 422,846.40 and 94,889.60

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Solution

The fourth proportional to 281,859.20, 422,846.40 and 94,889.60 is: 142,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,859.20 : 422,846.40 = 94,889.60 : x
  2. Step 2: Convert to fraction form
    281,859.20/422,846.40 = 94,889.60/x
  3. Step 3: Cross multiply
    281,859.20x = 422,846.40 × 94,889.60
  4. Step 4: Simplify right side
    281,859.20x = 40,123,725,757.44
  5. Step 5: Solve for x
    x = 40,123,725,757.44/281,859.20
  6. Step 6: Final answer
    x = 142,353.79

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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.