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Finding the Fourth Proportional to 217,224.10, 299,745.06 and 120,425.24

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Solution

The fourth proportional to 217,224.10, 299,745.06 and 120,425.24 is: 166,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224.10 : 299,745.06 = 120,425.24 : x
  2. Step 2: Convert to fraction form
    217,224.10/299,745.06 = 120,425.24/x
  3. Step 3: Cross multiply
    217,224.10x = 299,745.06 × 120,425.24
  4. Step 4: Simplify right side
    217,224.10x = 36,096,871,087.08
  5. Step 5: Solve for x
    x = 36,096,871,087.08/217,224.10
  6. Step 6: Final answer
    x = 166,173.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.