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Finding the Fourth Proportional to 196,344.69, 270,877.71 and 113,543.38

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Solution

The fourth proportional to 196,344.69, 270,877.71 and 113,543.38 is: 156,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,344.69 : 270,877.71 = 113,543.38 : x
  2. Step 2: Convert to fraction form
    196,344.69/270,877.71 = 113,543.38/x
  3. Step 3: Cross multiply
    196,344.69x = 270,877.71 × 113,543.38
  4. Step 4: Simplify right side
    196,344.69x = 30,756,370,760.06
  5. Step 5: Solve for x
    x = 30,756,370,760.06/196,344.69
  6. Step 6: Final answer
    x = 156,644.78

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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.