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Finding the Fourth Proportional to 267,666, 401,654.52 and 119,922

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Solution

The fourth proportional to 267,666, 401,654.52 and 119,922 is: 179,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,666 : 401,654.52 = 119,922 : x
  2. Step 2: Convert to fraction form
    267,666/401,654.52 = 119,922/x
  3. Step 3: Cross multiply
    267,666x = 401,654.52 × 119,922
  4. Step 4: Simplify right side
    267,666x = 48,167,213,347.44
  5. Step 5: Solve for x
    x = 48,167,213,347.44/267,666
  6. Step 6: Final answer
    x = 179,952.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.