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Finding the Fourth Proportional to 196,083.88, 270,593.22 and 106,659.88

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Solution

The fourth proportional to 196,083.88, 270,593.22 and 106,659.88 is: 147,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,083.88 : 270,593.22 = 106,659.88 : x
  2. Step 2: Convert to fraction form
    196,083.88/270,593.22 = 106,659.88/x
  3. Step 3: Cross multiply
    196,083.88x = 270,593.22 × 106,659.88
  4. Step 4: Simplify right side
    196,083.88x = 28,861,440,374.01
  5. Step 5: Solve for x
    x = 28,861,440,374.01/196,083.88
  6. Step 6: Final answer
    x = 147,189.26

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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.