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Finding the Fourth Proportional to 107,137.41, 160,690.62 and 75,019.04

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Solution

The fourth proportional to 107,137.41, 160,690.62 and 75,019.04 is: 112,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,137.41 : 160,690.62 = 75,019.04 : x
  2. Step 2: Convert to fraction form
    107,137.41/160,690.62 = 75,019.04/x
  3. Step 3: Cross multiply
    107,137.41x = 160,690.62 × 75,019.04
  4. Step 4: Simplify right side
    107,137.41x = 12,054,856,049.40
  5. Step 5: Solve for x
    x = 12,054,856,049.40/107,137.41
  6. Step 6: Final answer
    x = 112,517.71

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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.