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Finding the Fourth Proportional to 222,926.88, 334,234.79 and 82,647.84

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Solution

The fourth proportional to 222,926.88, 334,234.79 and 82,647.84 is: 123,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,926.88 : 334,234.79 = 82,647.84 : x
  2. Step 2: Convert to fraction form
    222,926.88/334,234.79 = 82,647.84/x
  3. Step 3: Cross multiply
    222,926.88x = 334,234.79 × 82,647.84
  4. Step 4: Simplify right side
    222,926.88x = 27,623,783,033.11
  5. Step 5: Solve for x
    x = 27,623,783,033.11/222,926.88
  6. Step 6: Final answer
    x = 123,914.10

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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.