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Finding the Fourth Proportional to 222,996.14, 334,496.94 and 65,227.78

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Solution

The fourth proportional to 222,996.14, 334,496.94 and 65,227.78 is: 97,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,996.14 : 334,496.94 = 65,227.78 : x
  2. Step 2: Convert to fraction form
    222,996.14/334,496.94 = 65,227.78/x
  3. Step 3: Cross multiply
    222,996.14x = 334,496.94 × 65,227.78
  4. Step 4: Simplify right side
    222,996.14x = 21,818,490,814.37
  5. Step 5: Solve for x
    x = 21,818,490,814.37/222,996.14
  6. Step 6: Final answer
    x = 97,842.46

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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.