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Finding the Fourth Proportional to 217,249.12, 299,803.74 and 120,452.68

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Solution

The fourth proportional to 217,249.12, 299,803.74 and 120,452.68 is: 166,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,249.12 : 299,803.74 = 120,452.68 : x
  2. Step 2: Convert to fraction form
    217,249.12/299,803.74 = 120,452.68/x
  3. Step 3: Cross multiply
    217,249.12x = 299,803.74 × 120,452.68
  4. Step 4: Simplify right side
    217,249.12x = 36,112,163,957.02
  5. Step 5: Solve for x
    x = 36,112,163,957.02/217,249.12
  6. Step 6: Final answer
    x = 166,224.67

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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.