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Finding the Fourth Proportional to 200,677.41, 301,015.49 and 50,917.41

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Solution

The fourth proportional to 200,677.41, 301,015.49 and 50,917.41 is: 76,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,677.41 : 301,015.49 = 50,917.41 : x
  2. Step 2: Convert to fraction form
    200,677.41/301,015.49 = 50,917.41/x
  3. Step 3: Cross multiply
    200,677.41x = 301,015.49 × 50,917.41
  4. Step 4: Simplify right side
    200,677.41x = 15,326,929,120.68
  5. Step 5: Solve for x
    x = 15,326,929,120.68/200,677.41
  6. Step 6: Final answer
    x = 76,375.96

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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.