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Finding the Fourth Proportional to 264,742.20, 365,344.22 and 143,883.76

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Solution

The fourth proportional to 264,742.20, 365,344.22 and 143,883.76 is: 198,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,742.20 : 365,344.22 = 143,883.76 : x
  2. Step 2: Convert to fraction form
    264,742.20/365,344.22 = 143,883.76/x
  3. Step 3: Cross multiply
    264,742.20x = 365,344.22 × 143,883.76
  4. Step 4: Simplify right side
    264,742.20x = 52,567,100,067.87
  5. Step 5: Solve for x
    x = 52,567,100,067.87/264,742.20
  6. Step 6: Final answer
    x = 198,559.58

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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.