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Finding the Fourth Proportional to 266,462.37, 367,715.30 and 150,165

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Solution

The fourth proportional to 266,462.37, 367,715.30 and 150,165 is: 207,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,462.37 : 367,715.30 = 150,165 : x
  2. Step 2: Convert to fraction form
    266,462.37/367,715.30 = 150,165/x
  3. Step 3: Cross multiply
    266,462.37x = 367,715.30 × 150,165
  4. Step 4: Simplify right side
    266,462.37x = 55,217,967,273.68
  5. Step 5: Solve for x
    x = 55,217,967,273.68/266,462.37
  6. Step 6: Final answer
    x = 207,226.14

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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.