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Finding the Fourth Proportional to 222,893.10, 334,339.65 and 82,622.70

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Solution

The fourth proportional to 222,893.10, 334,339.65 and 82,622.70 is: 123,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,893.10 : 334,339.65 = 82,622.70 : x
  2. Step 2: Convert to fraction form
    222,893.10/334,339.65 = 82,622.70/x
  3. Step 3: Cross multiply
    222,893.10x = 334,339.65 × 82,622.70
  4. Step 4: Simplify right side
    222,893.10x = 27,624,044,600.06
  5. Step 5: Solve for x
    x = 27,624,044,600.06/222,893.10
  6. Step 6: Final answer
    x = 123,934.05

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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.