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Finding the Fourth Proportional to 266,046.82, 367,152.36 and 145,195.88

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Solution

The fourth proportional to 266,046.82, 367,152.36 and 145,195.88 is: 200,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046.82 : 367,152.36 = 145,195.88 : x
  2. Step 2: Convert to fraction form
    266,046.82/367,152.36 = 145,195.88/x
  3. Step 3: Cross multiply
    266,046.82x = 367,152.36 × 145,195.88
  4. Step 4: Simplify right side
    266,046.82x = 53,309,010,004.28
  5. Step 5: Solve for x
    x = 53,309,010,004.28/266,046.82
  6. Step 6: Final answer
    x = 200,374.54

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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.