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Finding the Fourth Proportional to 256,622, 384,908.23 and 79,081.34

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Solution

The fourth proportional to 256,622, 384,908.23 and 79,081.34 is: 118,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,622 : 384,908.23 = 79,081.34 : x
  2. Step 2: Convert to fraction form
    256,622/384,908.23 = 79,081.34/x
  3. Step 3: Cross multiply
    256,622x = 384,908.23 × 79,081.34
  4. Step 4: Simplify right side
    256,622x = 30,439,058,605.43
  5. Step 5: Solve for x
    x = 30,439,058,605.43/256,622
  6. Step 6: Final answer
    x = 118,614.38

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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.