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Finding the Fourth Proportional to 106,910.94, 160,354.08 and 28,031.43

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Solution

The fourth proportional to 106,910.94, 160,354.08 and 28,031.43 is: 42,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,910.94 : 160,354.08 = 28,031.43 : x
  2. Step 2: Convert to fraction form
    106,910.94/160,354.08 = 28,031.43/x
  3. Step 3: Cross multiply
    106,910.94x = 160,354.08 × 28,031.43
  4. Step 4: Simplify right side
    106,910.94x = 4,494,954,168.73
  5. Step 5: Solve for x
    x = 4,494,954,168.73/106,910.94
  6. Step 6: Final answer
    x = 42,043.91

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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.