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Finding the Fourth Proportional to 146,544.30, 219,816.45 and 137,796.30

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Solution

The fourth proportional to 146,544.30, 219,816.45 and 137,796.30 is: 206,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,544.30 : 219,816.45 = 137,796.30 : x
  2. Step 2: Convert to fraction form
    146,544.30/219,816.45 = 137,796.30/x
  3. Step 3: Cross multiply
    146,544.30x = 219,816.45 × 137,796.30
  4. Step 4: Simplify right side
    146,544.30x = 30,289,893,489.14
  5. Step 5: Solve for x
    x = 30,289,893,489.14/146,544.30
  6. Step 6: Final answer
    x = 206,694.45

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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.