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Finding the Fourth Proportional to 123,997.57, 186,020.29 and 52,919.17

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Solution

The fourth proportional to 123,997.57, 186,020.29 and 52,919.17 is: 79,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,997.57 : 186,020.29 = 52,919.17 : x
  2. Step 2: Convert to fraction form
    123,997.57/186,020.29 = 52,919.17/x
  3. Step 3: Cross multiply
    123,997.57x = 186,020.29 × 52,919.17
  4. Step 4: Simplify right side
    123,997.57x = 9,844,039,349.96
  5. Step 5: Solve for x
    x = 9,844,039,349.96/123,997.57
  6. Step 6: Final answer
    x = 79,388.97

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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.