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Finding the Fourth Proportional to 196,103, 294,198.24 and 71,444

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Solution

The fourth proportional to 196,103, 294,198.24 and 71,444 is: 107,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,103 : 294,198.24 = 71,444 : x
  2. Step 2: Convert to fraction form
    196,103/294,198.24 = 71,444/x
  3. Step 3: Cross multiply
    196,103x = 294,198.24 × 71,444
  4. Step 4: Simplify right side
    196,103x = 21,018,699,058.56
  5. Step 5: Solve for x
    x = 21,018,699,058.56/196,103
  6. Step 6: Final answer
    x = 107,181.94

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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.