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Finding the Fourth Proportional to 222,810.92, 334,014.06 and 82,471.14

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Solution

The fourth proportional to 222,810.92, 334,014.06 and 82,471.14 is: 123,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,810.92 : 334,014.06 = 82,471.14 : x
  2. Step 2: Convert to fraction form
    222,810.92/334,014.06 = 82,471.14/x
  3. Step 3: Cross multiply
    222,810.92x = 334,014.06 × 82,471.14
  4. Step 4: Simplify right side
    222,810.92x = 27,546,520,304.23
  5. Step 5: Solve for x
    x = 27,546,520,304.23/222,810.92
  6. Step 6: Final answer
    x = 123,631.82

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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.