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Finding the Fourth Proportional to 232,997.29, 349,240.11 and 132,939.34

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Solution

The fourth proportional to 232,997.29, 349,240.11 and 132,939.34 is: 199,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997.29 : 349,240.11 = 132,939.34 : x
  2. Step 2: Convert to fraction form
    232,997.29/349,240.11 = 132,939.34/x
  3. Step 3: Cross multiply
    232,997.29x = 349,240.11 × 132,939.34
  4. Step 4: Simplify right side
    232,997.29x = 46,427,749,724.93
  5. Step 5: Solve for x
    x = 46,427,749,724.93/232,997.29
  6. Step 6: Final answer
    x = 199,263.05

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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.