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Finding the Fourth Proportional to 264,892.50, 365,539.74 and 150,169.50

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Solution

The fourth proportional to 264,892.50, 365,539.74 and 150,169.50 is: 207,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,892.50 : 365,539.74 = 150,169.50 : x
  2. Step 2: Convert to fraction form
    264,892.50/365,539.74 = 150,169.50/x
  3. Step 3: Cross multiply
    264,892.50x = 365,539.74 × 150,169.50
  4. Step 4: Simplify right side
    264,892.50x = 54,892,919,985.93
  5. Step 5: Solve for x
    x = 54,892,919,985.93/264,892.50
  6. Step 6: Final answer
    x = 207,227.16

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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.