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Finding the Fourth Proportional to 216,119.17, 298,216.94 and 120,629.89

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Solution

The fourth proportional to 216,119.17, 298,216.94 and 120,629.89 is: 166,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,119.17 : 298,216.94 = 120,629.89 : x
  2. Step 2: Convert to fraction form
    216,119.17/298,216.94 = 120,629.89/x
  3. Step 3: Cross multiply
    216,119.17x = 298,216.94 × 120,629.89
  4. Step 4: Simplify right side
    216,119.17x = 35,973,876,437.96
  5. Step 5: Solve for x
    x = 35,973,876,437.96/216,119.17
  6. Step 6: Final answer
    x = 166,453.89

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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.