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Finding the Fourth Proportional to 227,806.20, 341,709.30 and 127,969.65

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Solution

The fourth proportional to 227,806.20, 341,709.30 and 127,969.65 is: 191,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,806.20 : 341,709.30 = 127,969.65 : x
  2. Step 2: Convert to fraction form
    227,806.20/341,709.30 = 127,969.65/x
  3. Step 3: Cross multiply
    227,806.20x = 341,709.30 × 127,969.65
  4. Step 4: Simplify right side
    227,806.20x = 43,728,419,522.75
  5. Step 5: Solve for x
    x = 43,728,419,522.75/227,806.20
  6. Step 6: Final answer
    x = 191,954.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.