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Finding the Fourth Proportional to 185,245.88, 255,639.27 and 100,362.95

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Solution

The fourth proportional to 185,245.88, 255,639.27 and 100,362.95 is: 138,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,245.88 : 255,639.27 = 100,362.95 : x
  2. Step 2: Convert to fraction form
    185,245.88/255,639.27 = 100,362.95/x
  3. Step 3: Cross multiply
    185,245.88x = 255,639.27 × 100,362.95
  4. Step 4: Simplify right side
    185,245.88x = 25,656,709,743.94
  5. Step 5: Solve for x
    x = 25,656,709,743.94/185,245.88
  6. Step 6: Final answer
    x = 138,500.84

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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.