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Finding the Fourth Proportional to 227,467, 313,904.46 and 126,865

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Solution

The fourth proportional to 227,467, 313,904.46 and 126,865 is: 175,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,467 : 313,904.46 = 126,865 : x
  2. Step 2: Convert to fraction form
    227,467/313,904.46 = 126,865/x
  3. Step 3: Cross multiply
    227,467x = 313,904.46 × 126,865
  4. Step 4: Simplify right side
    227,467x = 39,823,489,317.90
  5. Step 5: Solve for x
    x = 39,823,489,317.90/227,467
  6. Step 6: Final answer
    x = 175,073.70

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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.