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Finding the Fourth Proportional to 132,562.53, 198,843.80 and 109,139.76

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Solution

The fourth proportional to 132,562.53, 198,843.80 and 109,139.76 is: 163,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562.53 : 198,843.80 = 109,139.76 : x
  2. Step 2: Convert to fraction form
    132,562.53/198,843.80 = 109,139.76/x
  3. Step 3: Cross multiply
    132,562.53x = 198,843.80 × 109,139.76
  4. Step 4: Simplify right side
    132,562.53x = 21,701,764,063.79
  5. Step 5: Solve for x
    x = 21,701,764,063.79/132,562.53
  6. Step 6: Final answer
    x = 163,709.64

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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.