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Finding the Fourth Proportional to 149,193, 223,789.50 and 50,697

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Solution

The fourth proportional to 149,193, 223,789.50 and 50,697 is: 76,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,193 : 223,789.50 = 50,697 : x
  2. Step 2: Convert to fraction form
    149,193/223,789.50 = 50,697/x
  3. Step 3: Cross multiply
    149,193x = 223,789.50 × 50,697
  4. Step 4: Simplify right side
    149,193x = 11,345,456,281.50
  5. Step 5: Solve for x
    x = 11,345,456,281.50/149,193
  6. Step 6: Final answer
    x = 76,045.50

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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.