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Finding the Fourth Proportional to 207,409.64, 311,110.86 and 67,168.52

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Solution

The fourth proportional to 207,409.64, 311,110.86 and 67,168.52 is: 100,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,409.64 : 311,110.86 = 67,168.52 : x
  2. Step 2: Convert to fraction form
    207,409.64/311,110.86 = 67,168.52/x
  3. Step 3: Cross multiply
    207,409.64x = 311,110.86 × 67,168.52
  4. Step 4: Simplify right side
    207,409.64x = 20,896,856,022.13
  5. Step 5: Solve for x
    x = 20,896,856,022.13/207,409.64
  6. Step 6: Final answer
    x = 100,751.61

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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.