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Finding the Fourth Proportional to 150,167.81, 207,232.16 and 96,453.29

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Solution

The fourth proportional to 150,167.81, 207,232.16 and 96,453.29 is: 133,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,167.81 : 207,232.16 = 96,453.29 : x
  2. Step 2: Convert to fraction form
    150,167.81/207,232.16 = 96,453.29/x
  3. Step 3: Cross multiply
    150,167.81x = 207,232.16 × 96,453.29
  4. Step 4: Simplify right side
    150,167.81x = 19,988,222,107.38
  5. Step 5: Solve for x
    x = 19,988,222,107.38/150,167.81
  6. Step 6: Final answer
    x = 133,105.91

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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.