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Finding the Fourth Proportional to 196,386, 271,013.22 and 111,516.36

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Solution

The fourth proportional to 196,386, 271,013.22 and 111,516.36 is: 153,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,386 : 271,013.22 = 111,516.36 : x
  2. Step 2: Convert to fraction form
    196,386/271,013.22 = 111,516.36/x
  3. Step 3: Cross multiply
    196,386x = 271,013.22 × 111,516.36
  4. Step 4: Simplify right side
    196,386x = 30,222,407,806.28
  5. Step 5: Solve for x
    x = 30,222,407,806.28/196,386
  6. Step 6: Final answer
    x = 153,892.88

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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.