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Finding the Fourth Proportional to 196,415.67, 271,046.43 and 120,062.64

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Solution

The fourth proportional to 196,415.67, 271,046.43 and 120,062.64 is: 165,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,415.67 : 271,046.43 = 120,062.64 : x
  2. Step 2: Convert to fraction form
    196,415.67/271,046.43 = 120,062.64/x
  3. Step 3: Cross multiply
    196,415.67x = 271,046.43 × 120,062.64
  4. Step 4: Simplify right side
    196,415.67x = 32,542,549,948.38
  5. Step 5: Solve for x
    x = 32,542,549,948.38/196,415.67
  6. Step 6: Final answer
    x = 165,682.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.