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Finding the Fourth Proportional to 196,687.44, 271,387.96 and 114,999.96

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Solution

The fourth proportional to 196,687.44, 271,387.96 and 114,999.96 is: 158,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,687.44 : 271,387.96 = 114,999.96 : x
  2. Step 2: Convert to fraction form
    196,687.44/271,387.96 = 114,999.96/x
  3. Step 3: Cross multiply
    196,687.44x = 271,387.96 × 114,999.96
  4. Step 4: Simplify right side
    196,687.44x = 31,209,604,544.48
  5. Step 5: Solve for x
    x = 31,209,604,544.48/196,687.44
  6. Step 6: Final answer
    x = 158,676.14

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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.