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Finding the Fourth Proportional to 185,674.50, 256,231.26 and 100,791.54

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Solution

The fourth proportional to 185,674.50, 256,231.26 and 100,791.54 is: 139,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,674.50 : 256,231.26 = 100,791.54 : x
  2. Step 2: Convert to fraction form
    185,674.50/256,231.26 = 100,791.54/x
  3. Step 3: Cross multiply
    185,674.50x = 256,231.26 × 100,791.54
  4. Step 4: Simplify right side
    185,674.50x = 25,825,943,291.54
  5. Step 5: Solve for x
    x = 25,825,943,291.54/185,674.50
  6. Step 6: Final answer
    x = 139,092.57

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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.