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Finding the Fourth Proportional to 132,836.64, 198,974.04 and 107,427.12

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Solution

The fourth proportional to 132,836.64, 198,974.04 and 107,427.12 is: 160,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,836.64 : 198,974.04 = 107,427.12 : x
  2. Step 2: Convert to fraction form
    132,836.64/198,974.04 = 107,427.12/x
  3. Step 3: Cross multiply
    132,836.64x = 198,974.04 × 107,427.12
  4. Step 4: Simplify right side
    132,836.64x = 21,375,208,071.96
  5. Step 5: Solve for x
    x = 21,375,208,071.96/132,836.64
  6. Step 6: Final answer
    x = 160,913.50

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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.