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Finding the Fourth Proportional to 104,914.78, 157,418.68 and 54,983

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Solution

The fourth proportional to 104,914.78, 157,418.68 and 54,983 is: 82,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,914.78 : 157,418.68 = 54,983 : x
  2. Step 2: Convert to fraction form
    104,914.78/157,418.68 = 54,983/x
  3. Step 3: Cross multiply
    104,914.78x = 157,418.68 × 54,983
  4. Step 4: Simplify right side
    104,914.78x = 8,655,351,282.44
  5. Step 5: Solve for x
    x = 8,655,351,282.44/104,914.78
  6. Step 6: Final answer
    x = 82,498.87

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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.