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Finding the Fourth Proportional to 216,429.27, 298,671.77 and 120,936.05

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Solution

The fourth proportional to 216,429.27, 298,671.77 and 120,936.05 is: 166,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,429.27 : 298,671.77 = 120,936.05 : x
  2. Step 2: Convert to fraction form
    216,429.27/298,671.77 = 120,936.05/x
  3. Step 3: Cross multiply
    216,429.27x = 298,671.77 × 120,936.05
  4. Step 4: Simplify right side
    216,429.27x = 36,120,182,012.27
  5. Step 5: Solve for x
    x = 36,120,182,012.27/216,429.27
  6. Step 6: Final answer
    x = 166,891.39

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Why These Related Problems?

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