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Finding the Fourth Proportional to 300,923.64, 451,409.22 and 101,242.44

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Solution

The fourth proportional to 300,923.64, 451,409.22 and 101,242.44 is: 151,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,923.64 : 451,409.22 = 101,242.44 : x
  2. Step 2: Convert to fraction form
    300,923.64/451,409.22 = 101,242.44/x
  3. Step 3: Cross multiply
    300,923.64x = 451,409.22 × 101,242.44
  4. Step 4: Simplify right side
    300,923.64x = 45,701,770,871.30
  5. Step 5: Solve for x
    x = 45,701,770,871.30/300,923.64
  6. Step 6: Final answer
    x = 151,871.65

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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.