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Finding the Fourth Proportional to 196,446.30, 271,097.76 and 111,563.97

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Solution

The fourth proportional to 196,446.30, 271,097.76 and 111,563.97 is: 153,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,446.30 : 271,097.76 = 111,563.97 : x
  2. Step 2: Convert to fraction form
    196,446.30/271,097.76 = 111,563.97/x
  3. Step 3: Cross multiply
    196,446.30x = 271,097.76 × 111,563.97
  4. Step 4: Simplify right side
    196,446.30x = 30,244,742,363.71
  5. Step 5: Solve for x
    x = 30,244,742,363.71/196,446.30
  6. Step 6: Final answer
    x = 153,959.34

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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.