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Finding the Fourth Proportional to 253,162, 379,494.60 and 140,896

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Solution

The fourth proportional to 253,162, 379,494.60 and 140,896 is: 211,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,162 : 379,494.60 = 140,896 : x
  2. Step 2: Convert to fraction form
    253,162/379,494.60 = 140,896/x
  3. Step 3: Cross multiply
    253,162x = 379,494.60 × 140,896
  4. Step 4: Simplify right side
    253,162x = 53,469,271,161.60
  5. Step 5: Solve for x
    x = 53,469,271,161.60/253,162
  6. Step 6: Final answer
    x = 211,205.75

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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.