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Finding the Fourth Proportional to 132,684.30, 198,804.60 and 57,691.98

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Solution

The fourth proportional to 132,684.30, 198,804.60 and 57,691.98 is: 86,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,684.30 : 198,804.60 = 57,691.98 : x
  2. Step 2: Convert to fraction form
    132,684.30/198,804.60 = 57,691.98/x
  3. Step 3: Cross multiply
    132,684.30x = 198,804.60 × 57,691.98
  4. Step 4: Simplify right side
    132,684.30x = 11,469,431,007.11
  5. Step 5: Solve for x
    x = 11,469,431,007.11/132,684.30
  6. Step 6: Final answer
    x = 86,441.51

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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.