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Finding the Fourth Proportional to 266,469.74, 367,723.78 and 145,608.24

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Solution

The fourth proportional to 266,469.74, 367,723.78 and 145,608.24 is: 200,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,469.74 : 367,723.78 = 145,608.24 : x
  2. Step 2: Convert to fraction form
    266,469.74/367,723.78 = 145,608.24/x
  3. Step 3: Cross multiply
    266,469.74x = 367,723.78 × 145,608.24
  4. Step 4: Simplify right side
    266,469.74x = 53,543,612,411.95
  5. Step 5: Solve for x
    x = 53,543,612,411.95/266,469.74
  6. Step 6: Final answer
    x = 200,936.93

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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.