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Finding the Fourth Proportional to 146,414.20, 219,621.30 and 83,428.60

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Solution

The fourth proportional to 146,414.20, 219,621.30 and 83,428.60 is: 125,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,414.20 : 219,621.30 = 83,428.60 : x
  2. Step 2: Convert to fraction form
    146,414.20/219,621.30 = 83,428.60/x
  3. Step 3: Cross multiply
    146,414.20x = 219,621.30 × 83,428.60
  4. Step 4: Simplify right side
    146,414.20x = 18,322,697,589.18
  5. Step 5: Solve for x
    x = 18,322,697,589.18/146,414.20
  6. Step 6: Final answer
    x = 125,142.90

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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.