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Finding the Fourth Proportional to 188,099.44, 282,165.56 and 61,701.78

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Solution

The fourth proportional to 188,099.44, 282,165.56 and 61,701.78 is: 92,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,099.44 : 282,165.56 = 61,701.78 : x
  2. Step 2: Convert to fraction form
    188,099.44/282,165.56 = 61,701.78/x
  3. Step 3: Cross multiply
    188,099.44x = 282,165.56 × 61,701.78
  4. Step 4: Simplify right side
    188,099.44x = 17,410,117,306.70
  5. Step 5: Solve for x
    x = 17,410,117,306.70/188,099.44
  6. Step 6: Final answer
    x = 92,558.05

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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.