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Finding the Fourth Proportional to 227,236, 313,257.76 and 159,041.92

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Solution

The fourth proportional to 227,236, 313,257.76 and 159,041.92 is: 219,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,236 : 313,257.76 = 159,041.92 : x
  2. Step 2: Convert to fraction form
    227,236/313,257.76 = 159,041.92/x
  3. Step 3: Cross multiply
    227,236x = 313,257.76 × 159,041.92
  4. Step 4: Simplify right side
    227,236x = 49,821,115,605.30
  5. Step 5: Solve for x
    x = 49,821,115,605.30/227,236
  6. Step 6: Final answer
    x = 219,248.34

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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.