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Finding the Fourth Proportional to 222,644.24, 334,021 and 64,874.16

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Solution

The fourth proportional to 222,644.24, 334,021 and 64,874.16 is: 97,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,644.24 : 334,021 = 64,874.16 : x
  2. Step 2: Convert to fraction form
    222,644.24/334,021 = 64,874.16/x
  3. Step 3: Cross multiply
    222,644.24x = 334,021 × 64,874.16
  4. Step 4: Simplify right side
    222,644.24x = 21,669,331,797.36
  5. Step 5: Solve for x
    x = 21,669,331,797.36/222,644.24
  6. Step 6: Final answer
    x = 97,327.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.