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Finding the Fourth Proportional to 196,022, 294,033 and 85,214

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Solution

The fourth proportional to 196,022, 294,033 and 85,214 is: 127,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,022 : 294,033 = 85,214 : x
  2. Step 2: Convert to fraction form
    196,022/294,033 = 85,214/x
  3. Step 3: Cross multiply
    196,022x = 294,033 × 85,214
  4. Step 4: Simplify right side
    196,022x = 25,055,728,062
  5. Step 5: Solve for x
    x = 25,055,728,062/196,022
  6. Step 6: Final answer
    x = 127,821

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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.