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Finding the Fourth Proportional to 222,859.83, 334,338.95 and 82,618.46

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Solution

The fourth proportional to 222,859.83, 334,338.95 and 82,618.46 is: 123,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,859.83 : 334,338.95 = 82,618.46 : x
  2. Step 2: Convert to fraction form
    222,859.83/334,338.95 = 82,618.46/x
  3. Step 3: Cross multiply
    222,859.83x = 334,338.95 × 82,618.46
  4. Step 4: Simplify right side
    222,859.83x = 27,622,568,955.64
  5. Step 5: Solve for x
    x = 27,622,568,955.64/222,859.83
  6. Step 6: Final answer
    x = 123,945.93

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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.