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Finding the Fourth Proportional to 267,109.79, 400,739.78 and 107,297.94

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Solution

The fourth proportional to 267,109.79, 400,739.78 and 107,297.94 is: 160,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,109.79 : 400,739.78 = 107,297.94 : x
  2. Step 2: Convert to fraction form
    267,109.79/400,739.78 = 107,297.94/x
  3. Step 3: Cross multiply
    267,109.79x = 400,739.78 × 107,297.94
  4. Step 4: Simplify right side
    267,109.79x = 42,998,553,138.30
  5. Step 5: Solve for x
    x = 42,998,553,138.30/267,109.79
  6. Step 6: Final answer
    x = 160,977.08

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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.