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Finding the Fourth Proportional to 196,540.64, 271,192.08 and 115,962.08

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Solution

The fourth proportional to 196,540.64, 271,192.08 and 115,962.08 is: 160,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,540.64 : 271,192.08 = 115,962.08 : x
  2. Step 2: Convert to fraction form
    196,540.64/271,192.08 = 115,962.08/x
  3. Step 3: Cross multiply
    196,540.64x = 271,192.08 × 115,962.08
  4. Step 4: Simplify right side
    196,540.64x = 31,447,997,676.33
  5. Step 5: Solve for x
    x = 31,447,997,676.33/196,540.64
  6. Step 6: Final answer
    x = 160,007.61

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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.