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Finding the Fourth Proportional to 281,723.74, 422,601 and 71,363.50

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Solution

The fourth proportional to 281,723.74, 422,601 and 71,363.50 is: 107,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,723.74 : 422,601 = 71,363.50 : x
  2. Step 2: Convert to fraction form
    281,723.74/422,601 = 71,363.50/x
  3. Step 3: Cross multiply
    281,723.74x = 422,601 × 71,363.50
  4. Step 4: Simplify right side
    281,723.74x = 30,158,286,463.50
  5. Step 5: Solve for x
    x = 30,158,286,463.50/281,723.74
  6. Step 6: Final answer
    x = 107,049.15

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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.