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Finding the Fourth Proportional to 264,383.16, 364,849.74 and 143,524.68

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Solution

The fourth proportional to 264,383.16, 364,849.74 and 143,524.68 is: 198,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,383.16 : 364,849.74 = 143,524.68 : x
  2. Step 2: Convert to fraction form
    264,383.16/364,849.74 = 143,524.68/x
  3. Step 3: Cross multiply
    264,383.16x = 364,849.74 × 143,524.68
  4. Step 4: Simplify right side
    264,383.16x = 52,364,942,181.58
  5. Step 5: Solve for x
    x = 52,364,942,181.58/264,383.16
  6. Step 6: Final answer
    x = 198,064.59

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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.