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Finding the Fourth Proportional to 150,537.24, 207,732.06 and 83,469.24

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Solution

The fourth proportional to 150,537.24, 207,732.06 and 83,469.24 is: 115,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,537.24 : 207,732.06 = 83,469.24 : x
  2. Step 2: Convert to fraction form
    150,537.24/207,732.06 = 83,469.24/x
  3. Step 3: Cross multiply
    150,537.24x = 207,732.06 × 83,469.24
  4. Step 4: Simplify right side
    150,537.24x = 17,339,237,171.83
  5. Step 5: Solve for x
    x = 17,339,237,171.83/150,537.24
  6. Step 6: Final answer
    x = 115,182.38

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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.