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Finding the Fourth Proportional to 208,247.40, 311,933.70 and 114,643.80

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Solution

The fourth proportional to 208,247.40, 311,933.70 and 114,643.80 is: 171,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,247.40 : 311,933.70 = 114,643.80 : x
  2. Step 2: Convert to fraction form
    208,247.40/311,933.70 = 114,643.80/x
  3. Step 3: Cross multiply
    208,247.40x = 311,933.70 × 114,643.80
  4. Step 4: Simplify right side
    208,247.40x = 35,761,264,716.06
  5. Step 5: Solve for x
    x = 35,761,264,716.06/208,247.40
  6. Step 6: Final answer
    x = 171,724.90

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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.