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Finding the Fourth Proportional to 132,755.34, 198,665.10 and 82,858.80

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Solution

The fourth proportional to 132,755.34, 198,665.10 and 82,858.80 is: 123,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,755.34 : 198,665.10 = 82,858.80 : x
  2. Step 2: Convert to fraction form
    132,755.34/198,665.10 = 82,858.80/x
  3. Step 3: Cross multiply
    132,755.34x = 198,665.10 × 82,858.80
  4. Step 4: Simplify right side
    132,755.34x = 16,461,151,787.88
  5. Step 5: Solve for x
    x = 16,461,151,787.88/132,755.34
  6. Step 6: Final answer
    x = 123,996.16

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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.