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Finding the Fourth Proportional to 132,678.68, 199,066.01 and 82,018.44

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Solution

The fourth proportional to 132,678.68, 199,066.01 and 82,018.44 is: 123,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,678.68 : 199,066.01 = 82,018.44 : x
  2. Step 2: Convert to fraction form
    132,678.68/199,066.01 = 82,018.44/x
  3. Step 3: Cross multiply
    132,678.68x = 199,066.01 × 82,018.44
  4. Step 4: Simplify right side
    132,678.68x = 16,327,083,187.13
  5. Step 5: Solve for x
    x = 16,327,083,187.13/132,678.68
  6. Step 6: Final answer
    x = 123,057.33

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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.