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Finding the Fourth Proportional to 216,106.85, 298,224.77 and 119,311.49

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Solution

The fourth proportional to 216,106.85, 298,224.77 and 119,311.49 is: 164,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,106.85 : 298,224.77 = 119,311.49 : x
  2. Step 2: Convert to fraction form
    216,106.85/298,224.77 = 119,311.49/x
  3. Step 3: Cross multiply
    216,106.85x = 298,224.77 × 119,311.49
  4. Step 4: Simplify right side
    216,106.85x = 35,581,641,067.05
  5. Step 5: Solve for x
    x = 35,581,641,067.05/216,106.85
  6. Step 6: Final answer
    x = 164,648.37

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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.