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Finding the Fourth Proportional to 264,593.34, 365,144.49 and 149,872.50

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Solution

The fourth proportional to 264,593.34, 365,144.49 and 149,872.50 is: 206,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,593.34 : 365,144.49 = 149,872.50 : x
  2. Step 2: Convert to fraction form
    264,593.34/365,144.49 = 149,872.50/x
  3. Step 3: Cross multiply
    264,593.34x = 365,144.49 × 149,872.50
  4. Step 4: Simplify right side
    264,593.34x = 54,725,117,577.53
  5. Step 5: Solve for x
    x = 54,725,117,577.53/264,593.34
  6. Step 6: Final answer
    x = 206,827.27

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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.