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Finding the Fourth Proportional to 222,997, 334,495.50 and 75,253

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Solution

The fourth proportional to 222,997, 334,495.50 and 75,253 is: 112,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,997 : 334,495.50 = 75,253 : x
  2. Step 2: Convert to fraction form
    222,997/334,495.50 = 75,253/x
  3. Step 3: Cross multiply
    222,997x = 334,495.50 × 75,253
  4. Step 4: Simplify right side
    222,997x = 25,171,789,861.50
  5. Step 5: Solve for x
    x = 25,171,789,861.50/222,997
  6. Step 6: Final answer
    x = 112,879.50

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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.