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Finding the Fourth Proportional to 196,163.01, 294,288.12 and 71,504.01

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Solution

The fourth proportional to 196,163.01, 294,288.12 and 71,504.01 is: 107,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,163.01 : 294,288.12 = 71,504.01 : x
  2. Step 2: Convert to fraction form
    196,163.01/294,288.12 = 71,504.01/x
  3. Step 3: Cross multiply
    196,163.01x = 294,288.12 × 71,504.01
  4. Step 4: Simplify right side
    196,163.01x = 21,042,780,675.36
  5. Step 5: Solve for x
    x = 21,042,780,675.36/196,163.01
  6. Step 6: Final answer
    x = 107,271.91

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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.