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Finding the Fourth Proportional to 216,122.83, 298,221.98 and 120,633.55

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Solution

The fourth proportional to 216,122.83, 298,221.98 and 120,633.55 is: 166,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,122.83 : 298,221.98 = 120,633.55 : x
  2. Step 2: Convert to fraction form
    216,122.83/298,221.98 = 120,633.55/x
  3. Step 3: Cross multiply
    216,122.83x = 298,221.98 × 120,633.55
  4. Step 4: Simplify right side
    216,122.83x = 35,975,576,135.43
  5. Step 5: Solve for x
    x = 35,975,576,135.43/216,122.83
  6. Step 6: Final answer
    x = 166,458.94

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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.