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Finding the Fourth Proportional to 132,735.84, 198,635.82 and 82,839.30

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Solution

The fourth proportional to 132,735.84, 198,635.82 and 82,839.30 is: 123,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,735.84 : 198,635.82 = 82,839.30 : x
  2. Step 2: Convert to fraction form
    132,735.84/198,635.82 = 82,839.30/x
  3. Step 3: Cross multiply
    132,735.84x = 198,635.82 × 82,839.30
  4. Step 4: Simplify right side
    132,735.84x = 16,454,852,283.73
  5. Step 5: Solve for x
    x = 16,454,852,283.73/132,735.84
  6. Step 6: Final answer
    x = 123,966.91

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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.