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Finding the Fourth Proportional to 185,422.49, 255,884.58 and 100,539.56

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Solution

The fourth proportional to 185,422.49, 255,884.58 and 100,539.56 is: 138,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,422.49 : 255,884.58 = 100,539.56 : x
  2. Step 2: Convert to fraction form
    185,422.49/255,884.58 = 100,539.56/x
  3. Step 3: Cross multiply
    185,422.49x = 255,884.58 × 100,539.56
  4. Step 4: Simplify right side
    185,422.49x = 25,726,522,284.35
  5. Step 5: Solve for x
    x = 25,726,522,284.35/185,422.49
  6. Step 6: Final answer
    x = 138,745.42

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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.