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Finding the Fourth Proportional to 264,857.64, 365,514.16 and 143,998.56

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Solution

The fourth proportional to 264,857.64, 365,514.16 and 143,998.56 is: 198,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,857.64 : 365,514.16 = 143,998.56 : x
  2. Step 2: Convert to fraction form
    264,857.64/365,514.16 = 143,998.56/x
  3. Step 3: Cross multiply
    264,857.64x = 365,514.16 × 143,998.56
  4. Step 4: Simplify right side
    264,857.64x = 52,633,510,872.04
  5. Step 5: Solve for x
    x = 52,633,510,872.04/264,857.64
  6. Step 6: Final answer
    x = 198,723.78

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1.5x scale

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.