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Finding the Fourth Proportional to 196,797.34, 271,732.91 and 153,701.61

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Solution

The fourth proportional to 196,797.34, 271,732.91 and 153,701.61 is: 212,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,797.34 : 271,732.91 = 153,701.61 : x
  2. Step 2: Convert to fraction form
    196,797.34/271,732.91 = 153,701.61/x
  3. Step 3: Cross multiply
    196,797.34x = 271,732.91 × 153,701.61
  4. Step 4: Simplify right side
    196,797.34x = 41,765,785,756.99
  5. Step 5: Solve for x
    x = 41,765,785,756.99/196,797.34
  6. Step 6: Final answer
    x = 212,227.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.