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Finding the Fourth Proportional to 185,150.88, 255,508.25 and 100,267.97

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Solution

The fourth proportional to 185,150.88, 255,508.25 and 100,267.97 is: 138,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,150.88 : 255,508.25 = 100,267.97 : x
  2. Step 2: Convert to fraction form
    185,150.88/255,508.25 = 100,267.97/x
  3. Step 3: Cross multiply
    185,150.88x = 255,508.25 × 100,267.97
  4. Step 4: Simplify right side
    185,150.88x = 25,619,291,766.87
  5. Step 5: Solve for x
    x = 25,619,291,766.87/185,150.88
  6. Step 6: Final answer
    x = 138,369.81

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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.