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Finding the Fourth Proportional to 150,696.38, 207,963.64 and 82,719.71

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Solution

The fourth proportional to 150,696.38, 207,963.64 and 82,719.71 is: 114,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,696.38 : 207,963.64 = 82,719.71 : x
  2. Step 2: Convert to fraction form
    150,696.38/207,963.64 = 82,719.71/x
  3. Step 3: Cross multiply
    150,696.38x = 207,963.64 × 82,719.71
  4. Step 4: Simplify right side
    150,696.38x = 17,202,691,991.34
  5. Step 5: Solve for x
    x = 17,202,691,991.34/150,696.38
  6. Step 6: Final answer
    x = 114,154.65

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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.