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Finding the Fourth Proportional to 150,650.75, 207,897.46 and 82,668.86

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Solution

The fourth proportional to 150,650.75, 207,897.46 and 82,668.86 is: 114,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,650.75 : 207,897.46 = 82,668.86 : x
  2. Step 2: Convert to fraction form
    150,650.75/207,897.46 = 82,668.86/x
  3. Step 3: Cross multiply
    150,650.75x = 207,897.46 × 82,668.86
  4. Step 4: Simplify right side
    150,650.75x = 17,186,644,562.26
  5. Step 5: Solve for x
    x = 17,186,644,562.26/150,650.75
  6. Step 6: Final answer
    x = 114,082.71

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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.