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Finding the Fourth Proportional to 146,586.62, 202,289.43 and 82,923.02

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Solution

The fourth proportional to 146,586.62, 202,289.43 and 82,923.02 is: 114,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,586.62 : 202,289.43 = 82,923.02 : x
  2. Step 2: Convert to fraction form
    146,586.62/202,289.43 = 82,923.02/x
  3. Step 3: Cross multiply
    146,586.62x = 202,289.43 × 82,923.02
  4. Step 4: Simplify right side
    146,586.62x = 16,774,450,449.68
  5. Step 5: Solve for x
    x = 16,774,450,449.68/146,586.62
  6. Step 6: Final answer
    x = 114,433.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.