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Finding the Fourth Proportional to 216,467.77, 298,738.79 and 120,982.09

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Solution

The fourth proportional to 216,467.77, 298,738.79 and 120,982.09 is: 166,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,467.77 : 298,738.79 = 120,982.09 : x
  2. Step 2: Convert to fraction form
    216,467.77/298,738.79 = 120,982.09/x
  3. Step 3: Cross multiply
    216,467.77x = 298,738.79 × 120,982.09
  4. Step 4: Simplify right side
    216,467.77x = 36,142,042,573.36
  5. Step 5: Solve for x
    x = 36,142,042,573.36/216,467.77
  6. Step 6: Final answer
    x = 166,962.70

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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.