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Finding the Fourth Proportional to 166,745.10, 230,142.27 and 113,047.38

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Solution

The fourth proportional to 166,745.10, 230,142.27 and 113,047.38 is: 156,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,745.10 : 230,142.27 = 113,047.38 : x
  2. Step 2: Convert to fraction form
    166,745.10/230,142.27 = 113,047.38/x
  3. Step 3: Cross multiply
    166,745.10x = 230,142.27 × 113,047.38
  4. Step 4: Simplify right side
    166,745.10x = 26,016,980,650.75
  5. Step 5: Solve for x
    x = 26,016,980,650.75/166,745.10
  6. Step 6: Final answer
    x = 156,028.46

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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.