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Finding the Fourth Proportional to 196,676.80, 271,344 and 116,063.98

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Solution

The fourth proportional to 196,676.80, 271,344 and 116,063.98 is: 160,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,676.80 : 271,344 = 116,063.98 : x
  2. Step 2: Convert to fraction form
    196,676.80/271,344 = 116,063.98/x
  3. Step 3: Cross multiply
    196,676.80x = 271,344 × 116,063.98
  4. Step 4: Simplify right side
    196,676.80x = 31,493,264,589.12
  5. Step 5: Solve for x
    x = 31,493,264,589.12/196,676.80
  6. Step 6: Final answer
    x = 160,126.99

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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.