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Finding the Fourth Proportional to 146,780.92, 220,138.26 and 67,852

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Solution

The fourth proportional to 146,780.92, 220,138.26 and 67,852 is: 101,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,780.92 : 220,138.26 = 67,852 : x
  2. Step 2: Convert to fraction form
    146,780.92/220,138.26 = 67,852/x
  3. Step 3: Cross multiply
    146,780.92x = 220,138.26 × 67,852
  4. Step 4: Simplify right side
    146,780.92x = 14,936,821,217.52
  5. Step 5: Solve for x
    x = 14,936,821,217.52/146,780.92
  6. Step 6: Final answer
    x = 101,762.69

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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.