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Finding the Fourth Proportional to 146,254.26, 201,830.89 and 82,596.16

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Solution

The fourth proportional to 146,254.26, 201,830.89 and 82,596.16 is: 113,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254.26 : 201,830.89 = 82,596.16 : x
  2. Step 2: Convert to fraction form
    146,254.26/201,830.89 = 82,596.16/x
  3. Step 3: Cross multiply
    146,254.26x = 201,830.89 × 82,596.16
  4. Step 4: Simplify right side
    146,254.26x = 16,670,456,483.38
  5. Step 5: Solve for x
    x = 16,670,456,483.38/146,254.26
  6. Step 6: Final answer
    x = 113,982.71

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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.