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Finding the Fourth Proportional to 222,625.66, 333,727.29 and 82,289.02

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Solution

The fourth proportional to 222,625.66, 333,727.29 and 82,289.02 is: 123,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,625.66 : 333,727.29 = 82,289.02 : x
  2. Step 2: Convert to fraction form
    222,625.66/333,727.29 = 82,289.02/x
  3. Step 3: Cross multiply
    222,625.66x = 333,727.29 × 82,289.02
  4. Step 4: Simplify right side
    222,625.66x = 27,462,091,641.36
  5. Step 5: Solve for x
    x = 27,462,091,641.36/222,625.66
  6. Step 6: Final answer
    x = 123,355.46

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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.