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Finding the Fourth Proportional to 227,722.38, 314,183.79 and 127,100.94

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Solution

The fourth proportional to 227,722.38, 314,183.79 and 127,100.94 is: 175,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,722.38 : 314,183.79 = 127,100.94 : x
  2. Step 2: Convert to fraction form
    227,722.38/314,183.79 = 127,100.94/x
  3. Step 3: Cross multiply
    227,722.38x = 314,183.79 × 127,100.94
  4. Step 4: Simplify right side
    227,722.38x = 39,933,055,041.76
  5. Step 5: Solve for x
    x = 39,933,055,041.76/227,722.38
  6. Step 6: Final answer
    x = 175,358.50

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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.