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Finding the Fourth Proportional to 196,829.20, 295,282.20 and 84,509.20

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Solution

The fourth proportional to 196,829.20, 295,282.20 and 84,509.20 is: 126,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,829.20 : 295,282.20 = 84,509.20 : x
  2. Step 2: Convert to fraction form
    196,829.20/295,282.20 = 84,509.20/x
  3. Step 3: Cross multiply
    196,829.20x = 295,282.20 × 84,509.20
  4. Step 4: Simplify right side
    196,829.20x = 24,954,062,496.24
  5. Step 5: Solve for x
    x = 24,954,062,496.24/196,829.20
  6. Step 6: Final answer
    x = 126,780.29

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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.