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Finding the Fourth Proportional to 197,073.30, 271,961.14 and 106,429.27

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Solution

The fourth proportional to 197,073.30, 271,961.14 and 106,429.27 is: 146,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,073.30 : 271,961.14 = 106,429.27 : x
  2. Step 2: Convert to fraction form
    197,073.30/271,961.14 = 106,429.27/x
  3. Step 3: Cross multiply
    197,073.30x = 271,961.14 × 106,429.27
  4. Step 4: Simplify right side
    197,073.30x = 28,944,624,652.59
  5. Step 5: Solve for x
    x = 28,944,624,652.59/197,073.30
  6. Step 6: Final answer
    x = 146,872.38

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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.