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Finding the Fourth Proportional to 208,168.86, 311,926.22 and 160,899.64

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Solution

The fourth proportional to 208,168.86, 311,926.22 and 160,899.64 is: 241,096.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,168.86 : 311,926.22 = 160,899.64 : x
  2. Step 2: Convert to fraction form
    208,168.86/311,926.22 = 160,899.64/x
  3. Step 3: Cross multiply
    208,168.86x = 311,926.22 × 160,899.64
  4. Step 4: Simplify right side
    208,168.86x = 50,188,816,504.56
  5. Step 5: Solve for x
    x = 50,188,816,504.56/208,168.86
  6. Step 6: Final answer
    x = 241,096.66

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1.5x scale

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.