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Finding the Fourth Proportional to 227,367, 313,766.46 and 126,765

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Solution

The fourth proportional to 227,367, 313,766.46 and 126,765 is: 174,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,367 : 313,766.46 = 126,765 : x
  2. Step 2: Convert to fraction form
    227,367/313,766.46 = 126,765/x
  3. Step 3: Cross multiply
    227,367x = 313,766.46 × 126,765
  4. Step 4: Simplify right side
    227,367x = 39,774,605,301.90
  5. Step 5: Solve for x
    x = 39,774,605,301.90/227,367
  6. Step 6: Final answer
    x = 174,935.70

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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.