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Finding the Fourth Proportional to 222,563.41, 333,611.83 and 82,232.53

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Solution

The fourth proportional to 222,563.41, 333,611.83 and 82,232.53 is: 123,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,563.41 : 333,611.83 = 82,232.53 : x
  2. Step 2: Convert to fraction form
    222,563.41/333,611.83 = 82,232.53/x
  3. Step 3: Cross multiply
    222,563.41x = 333,611.83 × 82,232.53
  4. Step 4: Simplify right side
    222,563.41x = 27,433,742,945.19
  5. Step 5: Solve for x
    x = 27,433,742,945.19/222,563.41
  6. Step 6: Final answer
    x = 123,262.60

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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.