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Finding the Fourth Proportional to 196,344, 270,945 and 119,774.70

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Solution

The fourth proportional to 196,344, 270,945 and 119,774.70 is: 165,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,344 : 270,945 = 119,774.70 : x
  2. Step 2: Convert to fraction form
    196,344/270,945 = 119,774.70/x
  3. Step 3: Cross multiply
    196,344x = 270,945 × 119,774.70
  4. Step 4: Simplify right side
    196,344x = 32,452,356,091.50
  5. Step 5: Solve for x
    x = 32,452,356,091.50/196,344
  6. Step 6: Final answer
    x = 165,283.16

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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.