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Finding the Fourth Proportional to 196,685.44, 271,385.20 and 114,997.96

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Solution

The fourth proportional to 196,685.44, 271,385.20 and 114,997.96 is: 158,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,685.44 : 271,385.20 = 114,997.96 : x
  2. Step 2: Convert to fraction form
    196,685.44/271,385.20 = 114,997.96/x
  3. Step 3: Cross multiply
    196,685.44x = 271,385.20 × 114,997.96
  4. Step 4: Simplify right side
    196,685.44x = 31,208,744,374.19
  5. Step 5: Solve for x
    x = 31,208,744,374.19/196,685.44
  6. Step 6: Final answer
    x = 158,673.38

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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.