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Finding the Fourth Proportional to 196,442.79, 271,083.85 and 120,089.76

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Solution

The fourth proportional to 196,442.79, 271,083.85 and 120,089.76 is: 165,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,442.79 : 271,083.85 = 120,089.76 : x
  2. Step 2: Convert to fraction form
    196,442.79/271,083.85 = 120,089.76/x
  3. Step 3: Cross multiply
    196,442.79x = 271,083.85 × 120,089.76
  4. Step 4: Simplify right side
    196,442.79x = 32,554,394,486.38
  5. Step 5: Solve for x
    x = 32,554,394,486.38/196,442.79
  6. Step 6: Final answer
    x = 165,719.47

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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.