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Finding the Fourth Proportional to 311,093.41, 466,708.17 and 100,752.61

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Solution

The fourth proportional to 311,093.41, 466,708.17 and 100,752.61 is: 151,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,093.41 : 466,708.17 = 100,752.61 : x
  2. Step 2: Convert to fraction form
    311,093.41/466,708.17 = 100,752.61/x
  3. Step 3: Cross multiply
    311,093.41x = 466,708.17 × 100,752.61
  4. Step 4: Simplify right side
    311,093.41x = 47,022,066,235.82
  5. Step 5: Solve for x
    x = 47,022,066,235.82/311,093.41
  6. Step 6: Final answer
    x = 151,150.96

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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.