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Finding the Fourth Proportional to 146,494.25, 202,156.45 and 82,833.38

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Solution

The fourth proportional to 146,494.25, 202,156.45 and 82,833.38 is: 114,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.25 : 202,156.45 = 82,833.38 : x
  2. Step 2: Convert to fraction form
    146,494.25/202,156.45 = 82,833.38/x
  3. Step 3: Cross multiply
    146,494.25x = 202,156.45 × 82,833.38
  4. Step 4: Simplify right side
    146,494.25x = 16,745,302,042.30
  5. Step 5: Solve for x
    x = 16,745,302,042.30/146,494.25
  6. Step 6: Final answer
    x = 114,306.89

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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.