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Finding the Fourth Proportional to 199,874.04, 275,817.92 and 109,233.02

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Solution

The fourth proportional to 199,874.04, 275,817.92 and 109,233.02 is: 150,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,874.04 : 275,817.92 = 109,233.02 : x
  2. Step 2: Convert to fraction form
    199,874.04/275,817.92 = 109,233.02/x
  3. Step 3: Cross multiply
    199,874.04x = 275,817.92 × 109,233.02
  4. Step 4: Simplify right side
    199,874.04x = 30,128,424,371.72
  5. Step 5: Solve for x
    x = 30,128,424,371.72/199,874.04
  6. Step 6: Final answer
    x = 150,737.06

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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.