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Finding the Fourth Proportional to 106,919.66, 160,380.16 and 28,033.18

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Solution

The fourth proportional to 106,919.66, 160,380.16 and 28,033.18 is: 42,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,919.66 : 160,380.16 = 28,033.18 : x
  2. Step 2: Convert to fraction form
    106,919.66/160,380.16 = 28,033.18/x
  3. Step 3: Cross multiply
    106,919.66x = 160,380.16 × 28,033.18
  4. Step 4: Simplify right side
    106,919.66x = 4,495,965,893.71
  5. Step 5: Solve for x
    x = 4,495,965,893.71/106,919.66
  6. Step 6: Final answer
    x = 42,049.95

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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.