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Finding the Fourth Proportional to 146,218.92, 201,770.84 and 82,563

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Solution

The fourth proportional to 146,218.92, 201,770.84 and 82,563 is: 113,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218.92 : 201,770.84 = 82,563 : x
  2. Step 2: Convert to fraction form
    146,218.92/201,770.84 = 82,563/x
  3. Step 3: Cross multiply
    146,218.92x = 201,770.84 × 82,563
  4. Step 4: Simplify right side
    146,218.92x = 16,658,805,862.92
  5. Step 5: Solve for x
    x = 16,658,805,862.92/146,218.92
  6. Step 6: Final answer
    x = 113,930.58

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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.