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Finding the Fourth Proportional to 196,561.82, 294,399.71 and 137,660.44

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Solution

The fourth proportional to 196,561.82, 294,399.71 and 137,660.44 is: 206,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,561.82 : 294,399.71 = 137,660.44 : x
  2. Step 2: Convert to fraction form
    196,561.82/294,399.71 = 137,660.44/x
  3. Step 3: Cross multiply
    196,561.82x = 294,399.71 × 137,660.44
  4. Step 4: Simplify right side
    196,561.82x = 40,527,192,926.17
  5. Step 5: Solve for x
    x = 40,527,192,926.17/196,561.82
  6. Step 6: Final answer
    x = 206,180.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.