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Finding the Fourth Proportional to 132,067.76, 198,130.78 and 48,961.76

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Solution

The fourth proportional to 132,067.76, 198,130.78 and 48,961.76 is: 73,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,067.76 : 198,130.78 = 48,961.76 : x
  2. Step 2: Convert to fraction form
    132,067.76/198,130.78 = 48,961.76/x
  3. Step 3: Cross multiply
    132,067.76x = 198,130.78 × 48,961.76
  4. Step 4: Simplify right side
    132,067.76x = 9,700,831,698.97
  5. Step 5: Solve for x
    x = 9,700,831,698.97/132,067.76
  6. Step 6: Final answer
    x = 73,453.44

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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.