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Finding the Fourth Proportional to 237,563, 327,842.22 and 135,586.42

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Solution

The fourth proportional to 237,563, 327,842.22 and 135,586.42 is: 187,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,563 : 327,842.22 = 135,586.42 : x
  2. Step 2: Convert to fraction form
    237,563/327,842.22 = 135,586.42/x
  3. Step 3: Cross multiply
    237,563x = 327,842.22 × 135,586.42
  4. Step 4: Simplify right side
    237,563x = 44,450,952,934.65
  5. Step 5: Solve for x
    x = 44,450,952,934.65/237,563
  6. Step 6: Final answer
    x = 187,112.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.