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Finding the Fourth Proportional to 281,824.22, 422,751.18 and 71,463.98

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Solution

The fourth proportional to 281,824.22, 422,751.18 and 71,463.98 is: 107,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,824.22 : 422,751.18 = 71,463.98 : x
  2. Step 2: Convert to fraction form
    281,824.22/422,751.18 = 71,463.98/x
  3. Step 3: Cross multiply
    281,824.22x = 422,751.18 × 71,463.98
  4. Step 4: Simplify right side
    281,824.22x = 30,211,481,872.50
  5. Step 5: Solve for x
    x = 30,211,481,872.50/281,824.22
  6. Step 6: Final answer
    x = 107,199.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.