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Finding the Fourth Proportional to 196,382.44, 270,921.54 and 132,697

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Solution

The fourth proportional to 196,382.44, 270,921.54 and 132,697 is: 183,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,382.44 : 270,921.54 = 132,697 : x
  2. Step 2: Convert to fraction form
    196,382.44/270,921.54 = 132,697/x
  3. Step 3: Cross multiply
    196,382.44x = 270,921.54 × 132,697
  4. Step 4: Simplify right side
    196,382.44x = 35,950,475,593.38
  5. Step 5: Solve for x
    x = 35,950,475,593.38/196,382.44
  6. Step 6: Final answer
    x = 183,063.60

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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.