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Finding the Fourth Proportional to 191,722.92, 264,404.97 and 120,109.20

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Solution

The fourth proportional to 191,722.92, 264,404.97 and 120,109.20 is: 165,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,722.92 : 264,404.97 = 120,109.20 : x
  2. Step 2: Convert to fraction form
    191,722.92/264,404.97 = 120,109.20/x
  3. Step 3: Cross multiply
    191,722.92x = 264,404.97 × 120,109.20
  4. Step 4: Simplify right side
    191,722.92x = 31,757,469,422.72
  5. Step 5: Solve for x
    x = 31,757,469,422.72/191,722.92
  6. Step 6: Final answer
    x = 165,642.53

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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.