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Finding the Fourth Proportional to 227,252, 313,279.84 and 159,057.92

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Solution

The fourth proportional to 227,252, 313,279.84 and 159,057.92 is: 219,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,252 : 313,279.84 = 159,057.92 : x
  2. Step 2: Convert to fraction form
    227,252/313,279.84 = 159,057.92/x
  3. Step 3: Cross multiply
    227,252x = 313,279.84 × 159,057.92
  4. Step 4: Simplify right side
    227,252x = 49,829,639,728.33
  5. Step 5: Solve for x
    x = 49,829,639,728.33/227,252
  6. Step 6: Final answer
    x = 219,270.41

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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.