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Finding the Fourth Proportional to 196,615.99, 271,326.81 and 109,397.83

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Solution

The fourth proportional to 196,615.99, 271,326.81 and 109,397.83 is: 150,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,615.99 : 271,326.81 = 109,397.83 : x
  2. Step 2: Convert to fraction form
    196,615.99/271,326.81 = 109,397.83/x
  3. Step 3: Cross multiply
    196,615.99x = 271,326.81 × 109,397.83
  4. Step 4: Simplify right side
    196,615.99x = 29,682,564,234.82
  5. Step 5: Solve for x
    x = 29,682,564,234.82/196,615.99
  6. Step 6: Final answer
    x = 150,967.19

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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.