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Finding the Fourth Proportional to 146,369.50, 201,993.82 and 82,705.92

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Solution

The fourth proportional to 146,369.50, 201,993.82 and 82,705.92 is: 114,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,369.50 : 201,993.82 = 82,705.92 : x
  2. Step 2: Convert to fraction form
    146,369.50/201,993.82 = 82,705.92/x
  3. Step 3: Cross multiply
    146,369.50x = 201,993.82 × 82,705.92
  4. Step 4: Simplify right side
    146,369.50x = 16,706,084,717.41
  5. Step 5: Solve for x
    x = 16,706,084,717.41/146,369.50
  6. Step 6: Final answer
    x = 114,136.38

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Why These Related Problems?

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