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Finding the Fourth Proportional to 222,408.60, 333,612.90 and 82,138.20

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Solution

The fourth proportional to 222,408.60, 333,612.90 and 82,138.20 is: 123,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,408.60 : 333,612.90 = 82,138.20 : x
  2. Step 2: Convert to fraction form
    222,408.60/333,612.90 = 82,138.20/x
  3. Step 3: Cross multiply
    222,408.60x = 333,612.90 × 82,138.20
  4. Step 4: Simplify right side
    222,408.60x = 27,402,363,102.78
  5. Step 5: Solve for x
    x = 27,402,363,102.78/222,408.60
  6. Step 6: Final answer
    x = 123,207.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.