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Finding the Fourth Proportional to 200,867.89, 301,380.27 and 88,469.13

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Solution

The fourth proportional to 200,867.89, 301,380.27 and 88,469.13 is: 132,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,867.89 : 301,380.27 = 88,469.13 : x
  2. Step 2: Convert to fraction form
    200,867.89/301,380.27 = 88,469.13/x
  3. Step 3: Cross multiply
    200,867.89x = 301,380.27 × 88,469.13
  4. Step 4: Simplify right side
    200,867.89x = 26,662,850,286.07
  5. Step 5: Solve for x
    x = 26,662,850,286.07/200,867.89
  6. Step 6: Final answer
    x = 132,738.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.