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Finding the Fourth Proportional to 113,874.20, 170,811.30 and 71,883.80

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Solution

The fourth proportional to 113,874.20, 170,811.30 and 71,883.80 is: 107,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,874.20 : 170,811.30 = 71,883.80 : x
  2. Step 2: Convert to fraction form
    113,874.20/170,811.30 = 71,883.80/x
  3. Step 3: Cross multiply
    113,874.20x = 170,811.30 × 71,883.80
  4. Step 4: Simplify right side
    113,874.20x = 12,278,565,326.94
  5. Step 5: Solve for x
    x = 12,278,565,326.94/113,874.20
  6. Step 6: Final answer
    x = 107,825.70

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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.