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Finding the Fourth Proportional to 227,284.56, 313,654.38 and 125,313.66

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Solution

The fourth proportional to 227,284.56, 313,654.38 and 125,313.66 is: 172,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,284.56 : 313,654.38 = 125,313.66 : x
  2. Step 2: Convert to fraction form
    227,284.56/313,654.38 = 125,313.66/x
  3. Step 3: Cross multiply
    227,284.56x = 313,654.38 × 125,313.66
  4. Step 4: Simplify right side
    227,284.56x = 39,305,178,332.83
  5. Step 5: Solve for x
    x = 39,305,178,332.83/227,284.56
  6. Step 6: Final answer
    x = 172,933.78

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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.