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Finding the Fourth Proportional to 146,833.84, 202,644.98 and 82,314.04

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Solution

The fourth proportional to 146,833.84, 202,644.98 and 82,314.04 is: 113,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,833.84 : 202,644.98 = 82,314.04 : x
  2. Step 2: Convert to fraction form
    146,833.84/202,644.98 = 82,314.04/x
  3. Step 3: Cross multiply
    146,833.84x = 202,644.98 × 82,314.04
  4. Step 4: Simplify right side
    146,833.84x = 16,680,526,989.52
  5. Step 5: Solve for x
    x = 16,680,526,989.52/146,833.84
  6. Step 6: Final answer
    x = 113,601.38

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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.