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Finding the Fourth Proportional to 196,863.69, 295,342.47 and 63,744

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Solution

The fourth proportional to 196,863.69, 295,342.47 and 63,744 is: 95,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.69 : 295,342.47 = 63,744 : x
  2. Step 2: Convert to fraction form
    196,863.69/295,342.47 = 63,744/x
  3. Step 3: Cross multiply
    196,863.69x = 295,342.47 × 63,744
  4. Step 4: Simplify right side
    196,863.69x = 18,826,310,407.68
  5. Step 5: Solve for x
    x = 18,826,310,407.68/196,863.69
  6. Step 6: Final answer
    x = 95,631.20

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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.