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Finding the Fourth Proportional to 196,649.30, 271,411.44 and 116,072.12

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Solution

The fourth proportional to 196,649.30, 271,411.44 and 116,072.12 is: 160,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,649.30 : 271,411.44 = 116,072.12 : x
  2. Step 2: Convert to fraction form
    196,649.30/271,411.44 = 116,072.12/x
  3. Step 3: Cross multiply
    196,649.30x = 271,411.44 × 116,072.12
  4. Step 4: Simplify right side
    196,649.30x = 31,503,301,233.05
  5. Step 5: Solve for x
    x = 31,503,301,233.05/196,649.30
  6. Step 6: Final answer
    x = 160,200.42

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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.