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Finding the Fourth Proportional to 264,396.74, 396,201.31 and 146,101.91

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Solution

The fourth proportional to 264,396.74, 396,201.31 and 146,101.91 is: 218,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,396.74 : 396,201.31 = 146,101.91 : x
  2. Step 2: Convert to fraction form
    264,396.74/396,201.31 = 146,101.91/x
  3. Step 3: Cross multiply
    264,396.74x = 396,201.31 × 146,101.91
  4. Step 4: Simplify right side
    264,396.74x = 57,885,765,789.24
  5. Step 5: Solve for x
    x = 57,885,765,789.24/264,396.74
  6. Step 6: Final answer
    x = 218,935.25

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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.