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Finding the Fourth Proportional to 212,138.12, 318,201.48 and 52,215.48

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Solution

The fourth proportional to 212,138.12, 318,201.48 and 52,215.48 is: 78,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,138.12 : 318,201.48 = 52,215.48 : x
  2. Step 2: Convert to fraction form
    212,138.12/318,201.48 = 52,215.48/x
  3. Step 3: Cross multiply
    212,138.12x = 318,201.48 × 52,215.48
  4. Step 4: Simplify right side
    212,138.12x = 16,615,043,014.91
  5. Step 5: Solve for x
    x = 16,615,043,014.91/212,138.12
  6. Step 6: Final answer
    x = 78,321.82

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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.