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Finding the Fourth Proportional to 196,871.14, 271,702.59 and 120,441.15

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Solution

The fourth proportional to 196,871.14, 271,702.59 and 120,441.15 is: 166,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,871.14 : 271,702.59 = 120,441.15 : x
  2. Step 2: Convert to fraction form
    196,871.14/271,702.59 = 120,441.15/x
  3. Step 3: Cross multiply
    196,871.14x = 271,702.59 × 120,441.15
  4. Step 4: Simplify right side
    196,871.14x = 32,724,171,945.92
  5. Step 5: Solve for x
    x = 32,724,171,945.92/196,871.14
  6. Step 6: Final answer
    x = 166,221.27

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