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Finding the Fourth Proportional to 196,369.96, 270,943.50 and 115,791.16

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Solution

The fourth proportional to 196,369.96, 270,943.50 and 115,791.16 is: 159,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,369.96 : 270,943.50 = 115,791.16 : x
  2. Step 2: Convert to fraction form
    196,369.96/270,943.50 = 115,791.16/x
  3. Step 3: Cross multiply
    196,369.96x = 270,943.50 × 115,791.16
  4. Step 4: Simplify right side
    196,369.96x = 31,372,862,159.46
  5. Step 5: Solve for x
    x = 31,372,862,159.46/196,369.96
  6. Step 6: Final answer
    x = 159,764.06

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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.