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Finding the Fourth Proportional to 228,297.44, 315,033.36 and 127,676

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Solution

The fourth proportional to 228,297.44, 315,033.36 and 127,676 is: 176,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,297.44 : 315,033.36 = 127,676 : x
  2. Step 2: Convert to fraction form
    228,297.44/315,033.36 = 127,676/x
  3. Step 3: Cross multiply
    228,297.44x = 315,033.36 × 127,676
  4. Step 4: Simplify right side
    228,297.44x = 40,222,199,271.36
  5. Step 5: Solve for x
    x = 40,222,199,271.36/228,297.44
  6. Step 6: Final answer
    x = 176,183.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.