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Finding the Fourth Proportional to 146,216.10, 219,324.15 and 35,408.10

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Solution

The fourth proportional to 146,216.10, 219,324.15 and 35,408.10 is: 53,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216.10 : 219,324.15 = 35,408.10 : x
  2. Step 2: Convert to fraction form
    146,216.10/219,324.15 = 35,408.10/x
  3. Step 3: Cross multiply
    146,216.10x = 219,324.15 × 35,408.10
  4. Step 4: Simplify right side
    146,216.10x = 7,765,851,435.62
  5. Step 5: Solve for x
    x = 7,765,851,435.62/146,216.10
  6. Step 6: Final answer
    x = 53,112.15

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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.