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Finding the Fourth Proportional to 185,138.25, 255,490.92 and 100,255.38

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Solution

The fourth proportional to 185,138.25, 255,490.92 and 100,255.38 is: 138,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.25 : 255,490.92 = 100,255.38 : x
  2. Step 2: Convert to fraction form
    185,138.25/255,490.92 = 100,255.38/x
  3. Step 3: Cross multiply
    185,138.25x = 255,490.92 × 100,255.38
  4. Step 4: Simplify right side
    185,138.25x = 25,614,339,271.15
  5. Step 5: Solve for x
    x = 25,614,339,271.15/185,138.25
  6. Step 6: Final answer
    x = 138,352.50

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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.