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Finding the Fourth Proportional to 222,846.53, 333,679.30 and 133,977.78

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Solution

The fourth proportional to 222,846.53, 333,679.30 and 133,977.78 is: 200,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,846.53 : 333,679.30 = 133,977.78 : x
  2. Step 2: Convert to fraction form
    222,846.53/333,679.30 = 133,977.78/x
  3. Step 3: Cross multiply
    222,846.53x = 333,679.30 × 133,977.78
  4. Step 4: Simplify right side
    222,846.53x = 44,705,611,511.01
  5. Step 5: Solve for x
    x = 44,705,611,511.01/222,846.53
  6. Step 6: Final answer
    x = 200,611.66

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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.