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Finding the Fourth Proportional to 114,105.68, 171,179.96 and 51,780.56

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Solution

The fourth proportional to 114,105.68, 171,179.96 and 51,780.56 is: 77,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.68 : 171,179.96 = 51,780.56 : x
  2. Step 2: Convert to fraction form
    114,105.68/171,179.96 = 51,780.56/x
  3. Step 3: Cross multiply
    114,105.68x = 171,179.96 × 51,780.56
  4. Step 4: Simplify right side
    114,105.68x = 8,863,794,189.58
  5. Step 5: Solve for x
    x = 8,863,794,189.58/114,105.68
  6. Step 6: Final answer
    x = 77,680.57

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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.