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Finding the Fourth Proportional to 264,306.54, 364,749.66 and 143,452.92

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Solution

The fourth proportional to 264,306.54, 364,749.66 and 143,452.92 is: 197,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,306.54 : 364,749.66 = 143,452.92 : x
  2. Step 2: Convert to fraction form
    264,306.54/364,749.66 = 143,452.92/x
  3. Step 3: Cross multiply
    264,306.54x = 364,749.66 × 143,452.92
  4. Step 4: Simplify right side
    264,306.54x = 52,324,403,796.01
  5. Step 5: Solve for x
    x = 52,324,403,796.01/264,306.54
  6. Step 6: Final answer
    x = 197,968.63

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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.