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Finding the Fourth Proportional to 297,219.78, 445,863.49 and 107,769.37

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Solution

The fourth proportional to 297,219.78, 445,863.49 and 107,769.37 is: 161,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,219.78 : 445,863.49 = 107,769.37 : x
  2. Step 2: Convert to fraction form
    297,219.78/445,863.49 = 107,769.37/x
  3. Step 3: Cross multiply
    297,219.78x = 445,863.49 × 107,769.37
  4. Step 4: Simplify right side
    297,219.78x = 48,050,427,692.72
  5. Step 5: Solve for x
    x = 48,050,427,692.72/297,219.78
  6. Step 6: Final answer
    x = 161,666.32

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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.