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Finding the Fourth Proportional to 196,785, 271,584.20 and 120,348.80

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Solution

The fourth proportional to 196,785, 271,584.20 and 120,348.80 is: 166,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,785 : 271,584.20 = 120,348.80 : x
  2. Step 2: Convert to fraction form
    196,785/271,584.20 = 120,348.80/x
  3. Step 3: Cross multiply
    196,785x = 271,584.20 × 120,348.80
  4. Step 4: Simplify right side
    196,785x = 32,684,832,568.96
  5. Step 5: Solve for x
    x = 32,684,832,568.96/196,785
  6. Step 6: Final answer
    x = 166,094.13

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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.