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Finding the Fourth Proportional to 146,558.26, 202,243.26 and 82,894.69

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Solution

The fourth proportional to 146,558.26, 202,243.26 and 82,894.69 is: 114,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,558.26 : 202,243.26 = 82,894.69 : x
  2. Step 2: Convert to fraction form
    146,558.26/202,243.26 = 82,894.69/x
  3. Step 3: Cross multiply
    146,558.26x = 202,243.26 × 82,894.69
  4. Step 4: Simplify right side
    146,558.26x = 16,764,892,342.29
  5. Step 5: Solve for x
    x = 16,764,892,342.29/146,558.26
  6. Step 6: Final answer
    x = 114,390.63

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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.