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Finding the Fourth Proportional to 264,872.50, 365,524.05 and 151,702.54

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Solution

The fourth proportional to 264,872.50, 365,524.05 and 151,702.54 is: 209,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,872.50 : 365,524.05 = 151,702.54 : x
  2. Step 2: Convert to fraction form
    264,872.50/365,524.05 = 151,702.54/x
  3. Step 3: Cross multiply
    264,872.50x = 365,524.05 × 151,702.54
  4. Step 4: Simplify right side
    264,872.50x = 55,450,926,816.09
  5. Step 5: Solve for x
    x = 55,450,926,816.09/264,872.50
  6. Step 6: Final answer
    x = 209,349.51

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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.