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Finding the Fourth Proportional to 196,224.80, 294,337.20 and 102,759.20

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Solution

The fourth proportional to 196,224.80, 294,337.20 and 102,759.20 is: 154,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,224.80 : 294,337.20 = 102,759.20 : x
  2. Step 2: Convert to fraction form
    196,224.80/294,337.20 = 102,759.20/x
  3. Step 3: Cross multiply
    196,224.80x = 294,337.20 × 102,759.20
  4. Step 4: Simplify right side
    196,224.80x = 30,245,855,202.24
  5. Step 5: Solve for x
    x = 30,245,855,202.24/196,224.80
  6. Step 6: Final answer
    x = 154,138.80

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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.