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Finding the Fourth Proportional to 221,198.40, 305,240.64 and 125,691.84

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Solution

The fourth proportional to 221,198.40, 305,240.64 and 125,691.84 is: 173,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,198.40 : 305,240.64 = 125,691.84 : x
  2. Step 2: Convert to fraction form
    221,198.40/305,240.64 = 125,691.84/x
  3. Step 3: Cross multiply
    221,198.40x = 305,240.64 × 125,691.84
  4. Step 4: Simplify right side
    221,198.40x = 38,366,257,684.38
  5. Step 5: Solve for x
    x = 38,366,257,684.38/221,198.40
  6. Step 6: Final answer
    x = 173,447.27

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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.