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Finding the Fourth Proportional to 106,978.41, 160,469.44 and 40,449.87

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Solution

The fourth proportional to 106,978.41, 160,469.44 and 40,449.87 is: 60,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.41 : 160,469.44 = 40,449.87 : x
  2. Step 2: Convert to fraction form
    106,978.41/160,469.44 = 40,449.87/x
  3. Step 3: Cross multiply
    106,978.41x = 160,469.44 × 40,449.87
  4. Step 4: Simplify right side
    106,978.41x = 6,490,967,885.85
  5. Step 5: Solve for x
    x = 6,490,967,885.85/106,978.41
  6. Step 6: Final answer
    x = 60,675.49

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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.