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Finding the Fourth Proportional to 110,822.80, 166,234.20 and 98,138.20

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Solution

The fourth proportional to 110,822.80, 166,234.20 and 98,138.20 is: 147,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,822.80 : 166,234.20 = 98,138.20 : x
  2. Step 2: Convert to fraction form
    110,822.80/166,234.20 = 98,138.20/x
  3. Step 3: Cross multiply
    110,822.80x = 166,234.20 × 98,138.20
  4. Step 4: Simplify right side
    110,822.80x = 16,313,925,166.44
  5. Step 5: Solve for x
    x = 16,313,925,166.44/110,822.80
  6. Step 6: Final answer
    x = 147,207.30

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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.