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Finding the Fourth Proportional to 281,704.56, 422,722.90 and 104,336.12

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Solution

The fourth proportional to 281,704.56, 422,722.90 and 104,336.12 is: 156,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,704.56 : 422,722.90 = 104,336.12 : x
  2. Step 2: Convert to fraction form
    281,704.56/422,722.90 = 104,336.12/x
  3. Step 3: Cross multiply
    281,704.56x = 422,722.90 × 104,336.12
  4. Step 4: Simplify right side
    281,704.56x = 44,105,267,221.15
  5. Step 5: Solve for x
    x = 44,105,267,221.15/281,704.56
  6. Step 6: Final answer
    x = 156,565.68

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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.