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Finding the Fourth Proportional to 196,020.54, 294,029.70 and 71,361.54

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Solution

The fourth proportional to 196,020.54, 294,029.70 and 71,361.54 is: 107,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,020.54 : 294,029.70 = 71,361.54 : x
  2. Step 2: Convert to fraction form
    196,020.54/294,029.70 = 71,361.54/x
  3. Step 3: Cross multiply
    196,020.54x = 294,029.70 × 71,361.54
  4. Step 4: Simplify right side
    196,020.54x = 20,982,412,197.74
  5. Step 5: Solve for x
    x = 20,982,412,197.74/196,020.54
  6. Step 6: Final answer
    x = 107,041.91

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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.