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Finding the Fourth Proportional to 100,243.77, 138,336.39 and 54,923.47

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Solution

The fourth proportional to 100,243.77, 138,336.39 and 54,923.47 is: 75,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,243.77 : 138,336.39 = 54,923.47 : x
  2. Step 2: Convert to fraction form
    100,243.77/138,336.39 = 54,923.47/x
  3. Step 3: Cross multiply
    100,243.77x = 138,336.39 × 54,923.47
  4. Step 4: Simplify right side
    100,243.77x = 7,597,913,874.39
  5. Step 5: Solve for x
    x = 7,597,913,874.39/100,243.77
  6. Step 6: Final answer
    x = 75,794.38

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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.