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Finding the Fourth Proportional to 208,079.86, 311,988.57 and 114,651.22

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Solution

The fourth proportional to 208,079.86, 311,988.57 and 114,651.22 is: 171,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,079.86 : 311,988.57 = 114,651.22 : x
  2. Step 2: Convert to fraction form
    208,079.86/311,988.57 = 114,651.22/x
  3. Step 3: Cross multiply
    208,079.86x = 311,988.57 × 114,651.22
  4. Step 4: Simplify right side
    208,079.86x = 35,769,870,176.56
  5. Step 5: Solve for x
    x = 35,769,870,176.56/208,079.86
  6. Step 6: Final answer
    x = 171,904.53

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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.