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Finding the Fourth Proportional to 82,222.38, 113,372.28 and 60,743.19

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Solution

The fourth proportional to 82,222.38, 113,372.28 and 60,743.19 is: 83,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.38 : 113,372.28 = 60,743.19 : x
  2. Step 2: Convert to fraction form
    82,222.38/113,372.28 = 60,743.19/x
  3. Step 3: Cross multiply
    82,222.38x = 113,372.28 × 60,743.19
  4. Step 4: Simplify right side
    82,222.38x = 6,886,593,944.77
  5. Step 5: Solve for x
    x = 6,886,593,944.77/82,222.38
  6. Step 6: Final answer
    x = 83,755.71

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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.