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Finding the Fourth Proportional to 146,529, 202,210.02 and 82,865.43

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Solution

The fourth proportional to 146,529, 202,210.02 and 82,865.43 is: 114,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,529 : 202,210.02 = 82,865.43 : x
  2. Step 2: Convert to fraction form
    146,529/202,210.02 = 82,865.43/x
  3. Step 3: Cross multiply
    146,529x = 202,210.02 × 82,865.43
  4. Step 4: Simplify right side
    146,529x = 16,756,220,257.61
  5. Step 5: Solve for x
    x = 16,756,220,257.61/146,529
  6. Step 6: Final answer
    x = 114,354.29

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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.