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Finding the Fourth Proportional to 114,586.78, 171,884.82 and 54,584.41

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Solution

The fourth proportional to 114,586.78, 171,884.82 and 54,584.41 is: 81,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,586.78 : 171,884.82 = 54,584.41 : x
  2. Step 2: Convert to fraction form
    114,586.78/171,884.82 = 54,584.41/x
  3. Step 3: Cross multiply
    114,586.78x = 171,884.82 × 54,584.41
  4. Step 4: Simplify right side
    114,586.78x = 9,382,230,628.23
  5. Step 5: Solve for x
    x = 9,382,230,628.23/114,586.78
  6. Step 6: Final answer
    x = 81,878.83

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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.