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Finding the Fourth Proportional to 113,914.80, 171,012.60 and 71,794.80

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Solution

The fourth proportional to 113,914.80, 171,012.60 and 71,794.80 is: 107,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,914.80 : 171,012.60 = 71,794.80 : x
  2. Step 2: Convert to fraction form
    113,914.80/171,012.60 = 71,794.80/x
  3. Step 3: Cross multiply
    113,914.80x = 171,012.60 × 71,794.80
  4. Step 4: Simplify right side
    113,914.80x = 12,277,815,414.48
  5. Step 5: Solve for x
    x = 12,277,815,414.48/113,914.80
  6. Step 6: Final answer
    x = 107,780.69

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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.