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Finding the Fourth Proportional to 196,787, 271,586.96 and 120,350.80

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Solution

The fourth proportional to 196,787, 271,586.96 and 120,350.80 is: 166,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,787 : 271,586.96 = 120,350.80 : x
  2. Step 2: Convert to fraction form
    196,787/271,586.96 = 120,350.80/x
  3. Step 3: Cross multiply
    196,787x = 271,586.96 × 120,350.80
  4. Step 4: Simplify right side
    196,787x = 32,685,707,905.57
  5. Step 5: Solve for x
    x = 32,685,707,905.57/196,787
  6. Step 6: Final answer
    x = 166,096.89

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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.