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Finding the Fourth Proportional to 188,644.57, 282,936.11 and 55,493.70

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Solution

The fourth proportional to 188,644.57, 282,936.11 and 55,493.70 is: 83,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,644.57 : 282,936.11 = 55,493.70 : x
  2. Step 2: Convert to fraction form
    188,644.57/282,936.11 = 55,493.70/x
  3. Step 3: Cross multiply
    188,644.57x = 282,936.11 × 55,493.70
  4. Step 4: Simplify right side
    188,644.57x = 15,701,169,915.36
  5. Step 5: Solve for x
    x = 15,701,169,915.36/188,644.57
  6. Step 6: Final answer
    x = 83,231.50

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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.