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Finding the Fourth Proportional to 196,708.82, 295,062.96 and 78,463.19

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Solution

The fourth proportional to 196,708.82, 295,062.96 and 78,463.19 is: 117,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,708.82 : 295,062.96 = 78,463.19 : x
  2. Step 2: Convert to fraction form
    196,708.82/295,062.96 = 78,463.19/x
  3. Step 3: Cross multiply
    196,708.82x = 295,062.96 × 78,463.19
  4. Step 4: Simplify right side
    196,708.82x = 23,151,581,092.44
  5. Step 5: Solve for x
    x = 23,151,581,092.44/196,708.82
  6. Step 6: Final answer
    x = 117,694.68

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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.