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Finding the Fourth Proportional to 196,411.17, 271,040.22 and 120,058.14

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Solution

The fourth proportional to 196,411.17, 271,040.22 and 120,058.14 is: 165,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,411.17 : 271,040.22 = 120,058.14 : x
  2. Step 2: Convert to fraction form
    196,411.17/271,040.22 = 120,058.14/x
  3. Step 3: Cross multiply
    196,411.17x = 271,040.22 × 120,058.14
  4. Step 4: Simplify right side
    196,411.17x = 32,540,584,678.39
  5. Step 5: Solve for x
    x = 32,540,584,678.39/196,411.17
  6. Step 6: Final answer
    x = 165,675.84

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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.