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Finding the Fourth Proportional to 221,283.10, 305,398.11 and 135,224.38

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Solution

The fourth proportional to 221,283.10, 305,398.11 and 135,224.38 is: 186,626.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,283.10 : 305,398.11 = 135,224.38 : x
  2. Step 2: Convert to fraction form
    221,283.10/305,398.11 = 135,224.38/x
  3. Step 3: Cross multiply
    221,283.10x = 305,398.11 × 135,224.38
  4. Step 4: Simplify right side
    221,283.10x = 41,297,270,077.92
  5. Step 5: Solve for x
    x = 41,297,270,077.92/221,283.10
  6. Step 6: Final answer
    x = 186,626.41

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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.