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Finding the Fourth Proportional to 107,351.98, 160,824.93 and 102,847.66

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Solution

The fourth proportional to 107,351.98, 160,824.93 and 102,847.66 is: 154,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,351.98 : 160,824.93 = 102,847.66 : x
  2. Step 2: Convert to fraction form
    107,351.98/160,824.93 = 102,847.66/x
  3. Step 3: Cross multiply
    107,351.98x = 160,824.93 × 102,847.66
  4. Step 4: Simplify right side
    107,351.98x = 16,540,467,720.16
  5. Step 5: Solve for x
    x = 16,540,467,720.16/107,351.98
  6. Step 6: Final answer
    x = 154,076.97

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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.