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Finding the Fourth Proportional to 197,700.52, 296,489.41 and 71,324.29

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Solution

The fourth proportional to 197,700.52, 296,489.41 and 71,324.29 is: 106,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,700.52 : 296,489.41 = 71,324.29 : x
  2. Step 2: Convert to fraction form
    197,700.52/296,489.41 = 71,324.29/x
  3. Step 3: Cross multiply
    197,700.52x = 296,489.41 × 71,324.29
  4. Step 4: Simplify right side
    197,700.52x = 21,146,898,146.16
  5. Step 5: Solve for x
    x = 21,146,898,146.16/197,700.52
  6. Step 6: Final answer
    x = 106,964.30

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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.