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Finding the Fourth Proportional to 150,018.65, 207,022.61 and 82,034.85

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Solution

The fourth proportional to 150,018.65, 207,022.61 and 82,034.85 is: 113,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,018.65 : 207,022.61 = 82,034.85 : x
  2. Step 2: Convert to fraction form
    150,018.65/207,022.61 = 82,034.85/x
  3. Step 3: Cross multiply
    150,018.65x = 207,022.61 × 82,034.85
  4. Step 4: Simplify right side
    150,018.65x = 16,983,068,347.78
  5. Step 5: Solve for x
    x = 16,983,068,347.78/150,018.65
  6. Step 6: Final answer
    x = 113,206.38

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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.