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Finding the Fourth Proportional to 264,763, 365,372.94 and 145,531

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Solution

The fourth proportional to 264,763, 365,372.94 and 145,531 is: 200,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,763 : 365,372.94 = 145,531 : x
  2. Step 2: Convert to fraction form
    264,763/365,372.94 = 145,531/x
  3. Step 3: Cross multiply
    264,763x = 365,372.94 × 145,531
  4. Step 4: Simplify right side
    264,763x = 53,173,089,331.14
  5. Step 5: Solve for x
    x = 53,173,089,331.14/264,763
  6. Step 6: Final answer
    x = 200,832.78

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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.