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Finding the Fourth Proportional to 188,013.98, 281,990.72 and 54,863.03

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Solution

The fourth proportional to 188,013.98, 281,990.72 and 54,863.03 is: 82,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,013.98 : 281,990.72 = 54,863.03 : x
  2. Step 2: Convert to fraction form
    188,013.98/281,990.72 = 54,863.03/x
  3. Step 3: Cross multiply
    188,013.98x = 281,990.72 × 54,863.03
  4. Step 4: Simplify right side
    188,013.98x = 15,470,863,646.81
  5. Step 5: Solve for x
    x = 15,470,863,646.81/188,013.98
  6. Step 6: Final answer
    x = 82,285.71

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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.