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Finding the Fourth Proportional to 146,537.40, 219,806.10 and 80,182.20

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Solution

The fourth proportional to 146,537.40, 219,806.10 and 80,182.20 is: 120,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537.40 : 219,806.10 = 80,182.20 : x
  2. Step 2: Convert to fraction form
    146,537.40/219,806.10 = 80,182.20/x
  3. Step 3: Cross multiply
    146,537.40x = 219,806.10 × 80,182.20
  4. Step 4: Simplify right side
    146,537.40x = 17,624,536,671.42
  5. Step 5: Solve for x
    x = 17,624,536,671.42/146,537.40
  6. Step 6: Final answer
    x = 120,273.30

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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.