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Finding the Fourth Proportional to 150,149.58, 207,206.45 and 82,166.57

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Solution

The fourth proportional to 150,149.58, 207,206.45 and 82,166.57 is: 113,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,149.58 : 207,206.45 = 82,166.57 : x
  2. Step 2: Convert to fraction form
    150,149.58/207,206.45 = 82,166.57/x
  3. Step 3: Cross multiply
    150,149.58x = 207,206.45 × 82,166.57
  4. Step 4: Simplify right side
    150,149.58x = 17,025,443,278.38
  5. Step 5: Solve for x
    x = 17,025,443,278.38/150,149.58
  6. Step 6: Final answer
    x = 113,389.88

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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.