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Finding the Fourth Proportional to 222,563.16, 333,611.45 and 82,232.28

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Solution

The fourth proportional to 222,563.16, 333,611.45 and 82,232.28 is: 123,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,563.16 : 333,611.45 = 82,232.28 : x
  2. Step 2: Convert to fraction form
    222,563.16/333,611.45 = 82,232.28/x
  3. Step 3: Cross multiply
    222,563.16x = 333,611.45 × 82,232.28
  4. Step 4: Simplify right side
    222,563.16x = 27,433,628,705.13
  5. Step 5: Solve for x
    x = 27,433,628,705.13/222,563.16
  6. Step 6: Final answer
    x = 123,262.22

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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.