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Finding the Fourth Proportional to 311,092.41, 466,706.67 and 100,751.61

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Solution

The fourth proportional to 311,092.41, 466,706.67 and 100,751.61 is: 151,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.41 : 466,706.67 = 100,751.61 : x
  2. Step 2: Convert to fraction form
    311,092.41/466,706.67 = 100,751.61/x
  3. Step 3: Cross multiply
    311,092.41x = 466,706.67 × 100,751.61
  4. Step 4: Simplify right side
    311,092.41x = 47,021,448,400.24
  5. Step 5: Solve for x
    x = 47,021,448,400.24/311,092.41
  6. Step 6: Final answer
    x = 151,149.46

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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.