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Finding the Fourth Proportional to 129,874.86, 179,121.38 and 109,099.17

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Solution

The fourth proportional to 129,874.86, 179,121.38 and 109,099.17 is: 150,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,874.86 : 179,121.38 = 109,099.17 : x
  2. Step 2: Convert to fraction form
    129,874.86/179,121.38 = 109,099.17/x
  3. Step 3: Cross multiply
    129,874.86x = 179,121.38 × 109,099.17
  4. Step 4: Simplify right side
    129,874.86x = 19,541,993,341.76
  5. Step 5: Solve for x
    x = 19,541,993,341.76/129,874.86
  6. Step 6: Final answer
    x = 150,467.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.