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Finding the Fourth Proportional to 132,894.37, 199,414.46 and 53,987.41

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Solution

The fourth proportional to 132,894.37, 199,414.46 and 53,987.41 is: 81,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,894.37 : 199,414.46 = 53,987.41 : x
  2. Step 2: Convert to fraction form
    132,894.37/199,414.46 = 53,987.41/x
  3. Step 3: Cross multiply
    132,894.37x = 199,414.46 × 53,987.41
  4. Step 4: Simplify right side
    132,894.37x = 10,765,870,211.95
  5. Step 5: Solve for x
    x = 10,765,870,211.95/132,894.37
  6. Step 6: Final answer
    x = 81,010.73

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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.