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Finding the Fourth Proportional to 222,862.83, 334,343.46 and 82,621.46

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Solution

The fourth proportional to 222,862.83, 334,343.46 and 82,621.46 is: 123,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,862.83 : 334,343.46 = 82,621.46 : x
  2. Step 2: Convert to fraction form
    222,862.83/334,343.46 = 82,621.46/x
  3. Step 3: Cross multiply
    222,862.83x = 334,343.46 × 82,621.46
  4. Step 4: Simplify right side
    222,862.83x = 27,623,943,134.93
  5. Step 5: Solve for x
    x = 27,623,943,134.93/222,862.83
  6. Step 6: Final answer
    x = 123,950.43

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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.