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Finding the Fourth Proportional to 222,805.13, 334,210.43 and 82,563.75

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Solution

The fourth proportional to 222,805.13, 334,210.43 and 82,563.75 is: 123,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,805.13 : 334,210.43 = 82,563.75 : x
  2. Step 2: Convert to fraction form
    222,805.13/334,210.43 = 82,563.75/x
  3. Step 3: Cross multiply
    222,805.13x = 334,210.43 × 82,563.75
  4. Step 4: Simplify right side
    222,805.13x = 27,593,666,596.32
  5. Step 5: Solve for x
    x = 27,593,666,596.32/222,805.13
  6. Step 6: Final answer
    x = 123,846.64

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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.