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Finding the Fourth Proportional to 441,194.75, 661,729.64 and 141,635.88

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Solution

The fourth proportional to 441,194.75, 661,729.64 and 141,635.88 is: 212,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,194.75 : 661,729.64 = 141,635.88 : x
  2. Step 2: Convert to fraction form
    441,194.75/661,729.64 = 141,635.88/x
  3. Step 3: Cross multiply
    441,194.75x = 661,729.64 × 141,635.88
  4. Step 4: Simplify right side
    441,194.75x = 93,724,659,175.30
  5. Step 5: Solve for x
    x = 93,724,659,175.30/441,194.75
  6. Step 6: Final answer
    x = 212,433.76

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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.