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Finding the Fourth Proportional to 264,418.64, 396,234.09 and 146,123.78

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Solution

The fourth proportional to 264,418.64, 396,234.09 and 146,123.78 is: 218,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,418.64 : 396,234.09 = 146,123.78 : x
  2. Step 2: Convert to fraction form
    264,418.64/396,234.09 = 146,123.78/x
  3. Step 3: Cross multiply
    264,418.64x = 396,234.09 × 146,123.78
  4. Step 4: Simplify right side
    264,418.64x = 57,899,222,995.66
  5. Step 5: Solve for x
    x = 57,899,222,995.66/264,418.64
  6. Step 6: Final answer
    x = 218,968.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.