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Finding the Fourth Proportional to 196,796.20, 295,232.70 and 84,476.20

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Solution

The fourth proportional to 196,796.20, 295,232.70 and 84,476.20 is: 126,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,796.20 : 295,232.70 = 84,476.20 : x
  2. Step 2: Convert to fraction form
    196,796.20/295,232.70 = 84,476.20/x
  3. Step 3: Cross multiply
    196,796.20x = 295,232.70 × 84,476.20
  4. Step 4: Simplify right side
    196,796.20x = 24,940,136,611.74
  5. Step 5: Solve for x
    x = 24,940,136,611.74/196,796.20
  6. Step 6: Final answer
    x = 126,730.78

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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.