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Finding the Fourth Proportional to 264,754.43, 365,414.25 and 157,303.78

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Solution

The fourth proportional to 264,754.43, 365,414.25 and 157,303.78 is: 217,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,754.43 : 365,414.25 = 157,303.78 : x
  2. Step 2: Convert to fraction form
    264,754.43/365,414.25 = 157,303.78/x
  3. Step 3: Cross multiply
    264,754.43x = 365,414.25 × 157,303.78
  4. Step 4: Simplify right side
    264,754.43x = 57,481,042,790.87
  5. Step 5: Solve for x
    x = 57,481,042,790.87/264,754.43
  6. Step 6: Final answer
    x = 217,110.79

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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.