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Finding the Fourth Proportional to 196,411.66, 271,040.45 and 120,058.61

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Solution

The fourth proportional to 196,411.66, 271,040.45 and 120,058.61 is: 165,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,411.66 : 271,040.45 = 120,058.61 : x
  2. Step 2: Convert to fraction form
    196,411.66/271,040.45 = 120,058.61/x
  3. Step 3: Cross multiply
    196,411.66x = 271,040.45 × 120,058.61
  4. Step 4: Simplify right side
    196,411.66x = 32,540,737,725.28
  5. Step 5: Solve for x
    x = 32,540,737,725.28/196,411.66
  6. Step 6: Final answer
    x = 165,676.20

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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.