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Finding the Fourth Proportional to 135,193, 202,789.50 and 36,697

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Solution

The fourth proportional to 135,193, 202,789.50 and 36,697 is: 55,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,193 : 202,789.50 = 36,697 : x
  2. Step 2: Convert to fraction form
    135,193/202,789.50 = 36,697/x
  3. Step 3: Cross multiply
    135,193x = 202,789.50 × 36,697
  4. Step 4: Simplify right side
    135,193x = 7,441,766,281.50
  5. Step 5: Solve for x
    x = 7,441,766,281.50/135,193
  6. Step 6: Final answer
    x = 55,045.50

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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.