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Finding the Fourth Proportional to 254,363.82, 381,553.86 and 127,935.06

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Solution

The fourth proportional to 254,363.82, 381,553.86 and 127,935.06 is: 191,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,363.82 : 381,553.86 = 127,935.06 : x
  2. Step 2: Convert to fraction form
    254,363.82/381,553.86 = 127,935.06/x
  3. Step 3: Cross multiply
    254,363.82x = 381,553.86 × 127,935.06
  4. Step 4: Simplify right side
    254,363.82x = 48,814,115,972.33
  5. Step 5: Solve for x
    x = 48,814,115,972.33/254,363.82
  6. Step 6: Final answer
    x = 191,906.68

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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.