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Finding the Fourth Proportional to 143,266.82, 214,887.85 and 48,494.97

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Solution

The fourth proportional to 143,266.82, 214,887.85 and 48,494.97 is: 72,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266.82 : 214,887.85 = 48,494.97 : x
  2. Step 2: Convert to fraction form
    143,266.82/214,887.85 = 48,494.97/x
  3. Step 3: Cross multiply
    143,266.82x = 214,887.85 × 48,494.97
  4. Step 4: Simplify right side
    143,266.82x = 10,420,979,717.88
  5. Step 5: Solve for x
    x = 10,420,979,717.88/143,266.82
  6. Step 6: Final answer
    x = 72,738.27

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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.