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Finding the Fourth Proportional to 311,876.37, 467,851.14 and 109,410.57

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Solution

The fourth proportional to 311,876.37, 467,851.14 and 109,410.57 is: 164,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,876.37 : 467,851.14 = 109,410.57 : x
  2. Step 2: Convert to fraction form
    311,876.37/467,851.14 = 109,410.57/x
  3. Step 3: Cross multiply
    311,876.37x = 467,851.14 × 109,410.57
  4. Step 4: Simplify right side
    311,876.37x = 51,187,859,902.55
  5. Step 5: Solve for x
    x = 51,187,859,902.55/311,876.37
  6. Step 6: Final answer
    x = 164,128.69

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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.