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Finding the Fourth Proportional to 174,770.43, 261,591.80 and 90,414.43

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Solution

The fourth proportional to 174,770.43, 261,591.80 and 90,414.43 is: 135,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,770.43 : 261,591.80 = 90,414.43 : x
  2. Step 2: Convert to fraction form
    174,770.43/261,591.80 = 90,414.43/x
  3. Step 3: Cross multiply
    174,770.43x = 261,591.80 × 90,414.43
  4. Step 4: Simplify right side
    174,770.43x = 23,651,672,383.62
  5. Step 5: Solve for x
    x = 23,651,672,383.62/174,770.43
  6. Step 6: Final answer
    x = 135,329.95

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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.