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Finding the Fourth Proportional to 109,323.44, 163,812.44 and 82,542.68

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Solution

The fourth proportional to 109,323.44, 163,812.44 and 82,542.68 is: 123,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,323.44 : 163,812.44 = 82,542.68 : x
  2. Step 2: Convert to fraction form
    109,323.44/163,812.44 = 82,542.68/x
  3. Step 3: Cross multiply
    109,323.44x = 163,812.44 × 82,542.68
  4. Step 4: Simplify right side
    109,323.44x = 13,521,517,814.94
  5. Step 5: Solve for x
    x = 13,521,517,814.94/109,323.44
  6. Step 6: Final answer
    x = 123,683.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.