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Finding the Fourth Proportional to 192,227.32, 288,341 and 57,293.48

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Solution

The fourth proportional to 192,227.32, 288,341 and 57,293.48 is: 85,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,227.32 : 288,341 = 57,293.48 : x
  2. Step 2: Convert to fraction form
    192,227.32/288,341 = 57,293.48/x
  3. Step 3: Cross multiply
    192,227.32x = 288,341 × 57,293.48
  4. Step 4: Simplify right side
    192,227.32x = 16,520,059,316.68
  5. Step 5: Solve for x
    x = 16,520,059,316.68/192,227.32
  6. Step 6: Final answer
    x = 85,940.23

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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.