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Finding the Fourth Proportional to 196,884.76, 271,693.76 and 120,375.30

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Solution

The fourth proportional to 196,884.76, 271,693.76 and 120,375.30 is: 166,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,884.76 : 271,693.76 = 120,375.30 : x
  2. Step 2: Convert to fraction form
    196,884.76/271,693.76 = 120,375.30/x
  3. Step 3: Cross multiply
    196,884.76x = 271,693.76 × 120,375.30
  4. Step 4: Simplify right side
    196,884.76x = 32,705,217,868.13
  5. Step 5: Solve for x
    x = 32,705,217,868.13/196,884.76
  6. Step 6: Final answer
    x = 166,113.51

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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.