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Finding the Fourth Proportional to 216,097.24, 298,229.16 and 120,622.54

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Solution

The fourth proportional to 216,097.24, 298,229.16 and 120,622.54 is: 166,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.24 : 298,229.16 = 120,622.54 : x
  2. Step 2: Convert to fraction form
    216,097.24/298,229.16 = 120,622.54/x
  3. Step 3: Cross multiply
    216,097.24x = 298,229.16 × 120,622.54
  4. Step 4: Simplify right side
    216,097.24x = 35,973,158,781.27
  5. Step 5: Solve for x
    x = 35,973,158,781.27/216,097.24
  6. Step 6: Final answer
    x = 166,467.46

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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.