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Finding the Fourth Proportional to 396,057.72, 594,023.78 and 126,150.83

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Solution

The fourth proportional to 396,057.72, 594,023.78 and 126,150.83 is: 189,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,057.72 : 594,023.78 = 126,150.83 : x
  2. Step 2: Convert to fraction form
    396,057.72/594,023.78 = 126,150.83/x
  3. Step 3: Cross multiply
    396,057.72x = 594,023.78 × 126,150.83
  4. Step 4: Simplify right side
    396,057.72x = 74,936,595,091.37
  5. Step 5: Solve for x
    x = 74,936,595,091.37/396,057.72
  6. Step 6: Final answer
    x = 189,206.25

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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.