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Finding the Fourth Proportional to 227,523.12, 313,918.92 and 146,954.04

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Solution

The fourth proportional to 227,523.12, 313,918.92 and 146,954.04 is: 202,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,523.12 : 313,918.92 = 146,954.04 : x
  2. Step 2: Convert to fraction form
    227,523.12/313,918.92 = 146,954.04/x
  3. Step 3: Cross multiply
    227,523.12x = 313,918.92 × 146,954.04
  4. Step 4: Simplify right side
    227,523.12x = 46,131,653,526.44
  5. Step 5: Solve for x
    x = 46,131,653,526.44/227,523.12
  6. Step 6: Final answer
    x = 202,755.89

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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.