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Finding the Fourth Proportional to 216,126.56, 298,255.01 and 120,633.23

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Solution

The fourth proportional to 216,126.56, 298,255.01 and 120,633.23 is: 166,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,126.56 : 298,255.01 = 120,633.23 : x
  2. Step 2: Convert to fraction form
    216,126.56/298,255.01 = 120,633.23/x
  3. Step 3: Cross multiply
    216,126.56x = 298,255.01 × 120,633.23
  4. Step 4: Simplify right side
    216,126.56x = 35,979,463,125.54
  5. Step 5: Solve for x
    x = 35,979,463,125.54/216,126.56
  6. Step 6: Final answer
    x = 166,474.05

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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.