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Finding the Fourth Proportional to 140,238.36, 193,553.88 and 82,875.24

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Solution

The fourth proportional to 140,238.36, 193,553.88 and 82,875.24 is: 114,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238.36 : 193,553.88 = 82,875.24 : x
  2. Step 2: Convert to fraction form
    140,238.36/193,553.88 = 82,875.24/x
  3. Step 3: Cross multiply
    140,238.36x = 193,553.88 × 82,875.24
  4. Step 4: Simplify right side
    140,238.36x = 16,040,824,257.93
  5. Step 5: Solve for x
    x = 16,040,824,257.93/140,238.36
  6. Step 6: Final answer
    x = 114,382.57

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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.