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Finding the Fourth Proportional to 264,850.68, 365,486.24 and 150,139.96

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Solution

The fourth proportional to 264,850.68, 365,486.24 and 150,139.96 is: 207,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,850.68 : 365,486.24 = 150,139.96 : x
  2. Step 2: Convert to fraction form
    264,850.68/365,486.24 = 150,139.96/x
  3. Step 3: Cross multiply
    264,850.68x = 365,486.24 × 150,139.96
  4. Step 4: Simplify right side
    264,850.68x = 54,874,089,454.15
  5. Step 5: Solve for x
    x = 54,874,089,454.15/264,850.68
  6. Step 6: Final answer
    x = 207,188.78

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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.