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Finding the Fourth Proportional to 212,235.36, 318,174 and 92,201.44

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Solution

The fourth proportional to 212,235.36, 318,174 and 92,201.44 is: 138,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,235.36 : 318,174 = 92,201.44 : x
  2. Step 2: Convert to fraction form
    212,235.36/318,174 = 92,201.44/x
  3. Step 3: Cross multiply
    212,235.36x = 318,174 × 92,201.44
  4. Step 4: Simplify right side
    212,235.36x = 29,336,100,970.56
  5. Step 5: Solve for x
    x = 29,336,100,970.56/212,235.36
  6. Step 6: Final answer
    x = 138,224.38

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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.