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Finding the Fourth Proportional to 103,163.38, 154,693.23 and 47,798.26

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Solution

The fourth proportional to 103,163.38, 154,693.23 and 47,798.26 is: 71,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,163.38 : 154,693.23 = 47,798.26 : x
  2. Step 2: Convert to fraction form
    103,163.38/154,693.23 = 47,798.26/x
  3. Step 3: Cross multiply
    103,163.38x = 154,693.23 × 47,798.26
  4. Step 4: Simplify right side
    103,163.38x = 7,394,067,227.78
  5. Step 5: Solve for x
    x = 7,394,067,227.78/103,163.38
  6. Step 6: Final answer
    x = 71,673.37

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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.