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Finding the Fourth Proportional to 185,021.32, 255,328.98 and 100,138.44

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Solution

The fourth proportional to 185,021.32, 255,328.98 and 100,138.44 is: 138,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,021.32 : 255,328.98 = 100,138.44 : x
  2. Step 2: Convert to fraction form
    185,021.32/255,328.98 = 100,138.44/x
  3. Step 3: Cross multiply
    185,021.32x = 255,328.98 × 100,138.44
  4. Step 4: Simplify right side
    185,021.32x = 25,568,245,743.99
  5. Step 5: Solve for x
    x = 25,568,245,743.99/185,021.32
  6. Step 6: Final answer
    x = 138,190.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.