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Finding the Fourth Proportional to 281,799.46, 422,706.48 and 71,453.80

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Solution

The fourth proportional to 281,799.46, 422,706.48 and 71,453.80 is: 107,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,799.46 : 422,706.48 = 71,453.80 : x
  2. Step 2: Convert to fraction form
    281,799.46/422,706.48 = 71,453.80/x
  3. Step 3: Cross multiply
    281,799.46x = 422,706.48 × 71,453.80
  4. Step 4: Simplify right side
    281,799.46x = 30,203,984,280.62
  5. Step 5: Solve for x
    x = 30,203,984,280.62/281,799.46
  6. Step 6: Final answer
    x = 107,182.55

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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.