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Finding the Fourth Proportional to 115,876.40, 173,814.60 and 82,415.30

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Solution

The fourth proportional to 115,876.40, 173,814.60 and 82,415.30 is: 123,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,876.40 : 173,814.60 = 82,415.30 : x
  2. Step 2: Convert to fraction form
    115,876.40/173,814.60 = 82,415.30/x
  3. Step 3: Cross multiply
    115,876.40x = 173,814.60 × 82,415.30
  4. Step 4: Simplify right side
    115,876.40x = 14,324,982,403.38
  5. Step 5: Solve for x
    x = 14,324,982,403.38/115,876.40
  6. Step 6: Final answer
    x = 123,622.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.