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Finding the Fourth Proportional to 274,606.27, 411,833.26 and 132,544.03

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Solution

The fourth proportional to 274,606.27, 411,833.26 and 132,544.03 is: 198,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,606.27 : 411,833.26 = 132,544.03 : x
  2. Step 2: Convert to fraction form
    274,606.27/411,833.26 = 132,544.03/x
  3. Step 3: Cross multiply
    274,606.27x = 411,833.26 × 132,544.03
  4. Step 4: Simplify right side
    274,606.27x = 54,586,039,968.44
  5. Step 5: Solve for x
    x = 54,586,039,968.44/274,606.27
  6. Step 6: Final answer
    x = 198,779.29

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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.