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Finding the Fourth Proportional to 264,651.78, 365,219.85 and 143,793.02

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Solution

The fourth proportional to 264,651.78, 365,219.85 and 143,793.02 is: 198,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,651.78 : 365,219.85 = 143,793.02 : x
  2. Step 2: Convert to fraction form
    264,651.78/365,219.85 = 143,793.02/x
  3. Step 3: Cross multiply
    264,651.78x = 365,219.85 × 143,793.02
  4. Step 4: Simplify right side
    264,651.78x = 52,516,064,738.92
  5. Step 5: Solve for x
    x = 52,516,064,738.92/264,651.78
  6. Step 6: Final answer
    x = 198,434.58

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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.