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Finding the Fourth Proportional to 227,212.38, 313,551.66 and 123,846.48

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Solution

The fourth proportional to 227,212.38, 313,551.66 and 123,846.48 is: 170,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,212.38 : 313,551.66 = 123,846.48 : x
  2. Step 2: Convert to fraction form
    227,212.38/313,551.66 = 123,846.48/x
  3. Step 3: Cross multiply
    227,212.38x = 313,551.66 × 123,846.48
  4. Step 4: Simplify right side
    227,212.38x = 38,832,269,389.16
  5. Step 5: Solve for x
    x = 38,832,269,389.16/227,212.38
  6. Step 6: Final answer
    x = 170,907.37

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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.