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Finding the Fourth Proportional to 196,412.66, 271,041.82 and 120,059.61

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Solution

The fourth proportional to 196,412.66, 271,041.82 and 120,059.61 is: 165,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,412.66 : 271,041.82 = 120,059.61 : x
  2. Step 2: Convert to fraction form
    196,412.66/271,041.82 = 120,059.61/x
  3. Step 3: Cross multiply
    196,412.66x = 271,041.82 × 120,059.61
  4. Step 4: Simplify right side
    196,412.66x = 32,541,175,202.89
  5. Step 5: Solve for x
    x = 32,541,175,202.89/196,412.66
  6. Step 6: Final answer
    x = 165,677.59

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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.