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Finding the Fourth Proportional to 306,661.33, 459,991.90 and 82,015.96

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Solution

The fourth proportional to 306,661.33, 459,991.90 and 82,015.96 is: 123,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,661.33 : 459,991.90 = 82,015.96 : x
  2. Step 2: Convert to fraction form
    306,661.33/459,991.90 = 82,015.96/x
  3. Step 3: Cross multiply
    306,661.33x = 459,991.90 × 82,015.96
  4. Step 4: Simplify right side
    306,661.33x = 37,726,675,029.82
  5. Step 5: Solve for x
    x = 37,726,675,029.82/306,661.33
  6. Step 6: Final answer
    x = 123,023.91

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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.