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Finding the Fourth Proportional to 196,902.56, 295,339.56 and 76,936.95

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Solution

The fourth proportional to 196,902.56, 295,339.56 and 76,936.95 is: 115,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,902.56 : 295,339.56 = 76,936.95 : x
  2. Step 2: Convert to fraction form
    196,902.56/295,339.56 = 76,936.95/x
  3. Step 3: Cross multiply
    196,902.56x = 295,339.56 × 76,936.95
  4. Step 4: Simplify right side
    196,902.56x = 22,722,524,960.74
  5. Step 5: Solve for x
    x = 22,722,524,960.74/196,902.56
  6. Step 6: Final answer
    x = 115,399.85

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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.