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Finding the Fourth Proportional to 100,504.26, 150,778.26 and 30,381.75

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Solution

The fourth proportional to 100,504.26, 150,778.26 and 30,381.75 is: 45,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504.26 : 150,778.26 = 30,381.75 : x
  2. Step 2: Convert to fraction form
    100,504.26/150,778.26 = 30,381.75/x
  3. Step 3: Cross multiply
    100,504.26x = 150,778.26 × 30,381.75
  4. Step 4: Simplify right side
    100,504.26x = 4,580,907,400.76
  5. Step 5: Solve for x
    x = 4,580,907,400.76/100,504.26
  6. Step 6: Final answer
    x = 45,579.24

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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.