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Finding the Fourth Proportional to 196,347, 270,949.14 and 119,777.70

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Solution

The fourth proportional to 196,347, 270,949.14 and 119,777.70 is: 165,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,347 : 270,949.14 = 119,777.70 : x
  2. Step 2: Convert to fraction form
    196,347/270,949.14 = 119,777.70/x
  3. Step 3: Cross multiply
    196,347x = 270,949.14 × 119,777.70
  4. Step 4: Simplify right side
    196,347x = 32,453,664,806.18
  5. Step 5: Solve for x
    x = 32,453,664,806.18/196,347
  6. Step 6: Final answer
    x = 165,287.30

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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.