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Finding the Fourth Proportional to 281,680.91, 422,226.12 and 104,074.64

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Solution

The fourth proportional to 281,680.91, 422,226.12 and 104,074.64 is: 156,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,680.91 : 422,226.12 = 104,074.64 : x
  2. Step 2: Convert to fraction form
    281,680.91/422,226.12 = 104,074.64/x
  3. Step 3: Cross multiply
    281,680.91x = 422,226.12 × 104,074.64
  4. Step 4: Simplify right side
    281,680.91x = 43,943,033,154.54
  5. Step 5: Solve for x
    x = 43,943,033,154.54/281,680.91
  6. Step 6: Final answer
    x = 156,002.88

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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.