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Finding the Fourth Proportional to 264,644.67, 365,205.16 and 143,787.86

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Solution

The fourth proportional to 264,644.67, 365,205.16 and 143,787.86 is: 198,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,644.67 : 365,205.16 = 143,787.86 : x
  2. Step 2: Convert to fraction form
    264,644.67/365,205.16 = 143,787.86/x
  3. Step 3: Cross multiply
    264,644.67x = 365,205.16 × 143,787.86
  4. Step 4: Simplify right side
    264,644.67x = 52,512,067,331.78
  5. Step 5: Solve for x
    x = 52,512,067,331.78/264,644.67
  6. Step 6: Final answer
    x = 198,424.81

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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.