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Finding the Fourth Proportional to 146,594.10, 219,891.15 and 137,846.10

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Solution

The fourth proportional to 146,594.10, 219,891.15 and 137,846.10 is: 206,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,594.10 : 219,891.15 = 137,846.10 : x
  2. Step 2: Convert to fraction form
    146,594.10/219,891.15 = 137,846.10/x
  3. Step 3: Cross multiply
    146,594.10x = 219,891.15 × 137,846.10
  4. Step 4: Simplify right side
    146,594.10x = 30,311,137,452.02
  5. Step 5: Solve for x
    x = 30,311,137,452.02/146,594.10
  6. Step 6: Final answer
    x = 206,769.15

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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.