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Finding the Fourth Proportional to 208,096.80, 311,617.20 and 114,496.80

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Solution

The fourth proportional to 208,096.80, 311,617.20 and 114,496.80 is: 171,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.80 : 311,617.20 = 114,496.80 : x
  2. Step 2: Convert to fraction form
    208,096.80/311,617.20 = 114,496.80/x
  3. Step 3: Cross multiply
    208,096.80x = 311,617.20 × 114,496.80
  4. Step 4: Simplify right side
    208,096.80x = 35,679,172,224.96
  5. Step 5: Solve for x
    x = 35,679,172,224.96/208,096.80
  6. Step 6: Final answer
    x = 171,454.69

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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.