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Finding the Fourth Proportional to 111,002, 166,657.68 and 57,004.56

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Solution

The fourth proportional to 111,002, 166,657.68 and 57,004.56 is: 85,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,002 : 166,657.68 = 57,004.56 : x
  2. Step 2: Convert to fraction form
    111,002/166,657.68 = 57,004.56/x
  3. Step 3: Cross multiply
    111,002x = 166,657.68 × 57,004.56
  4. Step 4: Simplify right side
    111,002x = 9,500,247,719.02
  5. Step 5: Solve for x
    x = 9,500,247,719.02/111,002
  6. Step 6: Final answer
    x = 85,586.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.