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Finding the Fourth Proportional to 237,643.92, 327,936.12 and 135,665.36

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Solution

The fourth proportional to 237,643.92, 327,936.12 and 135,665.36 is: 187,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643.92 : 327,936.12 = 135,665.36 : x
  2. Step 2: Convert to fraction form
    237,643.92/327,936.12 = 135,665.36/x
  3. Step 3: Cross multiply
    237,643.92x = 327,936.12 × 135,665.36
  4. Step 4: Simplify right side
    237,643.92x = 44,489,571,776.80
  5. Step 5: Solve for x
    x = 44,489,571,776.80/237,643.92
  6. Step 6: Final answer
    x = 187,211.07

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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.