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Finding the Fourth Proportional to 196,443, 271,091.34 and 107,019

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Solution

The fourth proportional to 196,443, 271,091.34 and 107,019 is: 147,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,443 : 271,091.34 = 107,019 : x
  2. Step 2: Convert to fraction form
    196,443/271,091.34 = 107,019/x
  3. Step 3: Cross multiply
    196,443x = 271,091.34 × 107,019
  4. Step 4: Simplify right side
    196,443x = 29,011,924,115.46
  5. Step 5: Solve for x
    x = 29,011,924,115.46/196,443
  6. Step 6: Final answer
    x = 147,686.22

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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.