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Finding the Fourth Proportional to 191,947.38, 264,972.32 and 123,997.48

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Solution

The fourth proportional to 191,947.38, 264,972.32 and 123,997.48 is: 171,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,947.38 : 264,972.32 = 123,997.48 : x
  2. Step 2: Convert to fraction form
    191,947.38/264,972.32 = 123,997.48/x
  3. Step 3: Cross multiply
    191,947.38x = 264,972.32 × 123,997.48
  4. Step 4: Simplify right side
    191,947.38x = 32,855,899,949.75
  5. Step 5: Solve for x
    x = 32,855,899,949.75/191,947.38
  6. Step 6: Final answer
    x = 171,171.39

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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.