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Finding the Fourth Proportional to 206,190.54, 284,541.21 and 189,263.16

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Solution

The fourth proportional to 206,190.54, 284,541.21 and 189,263.16 is: 261,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190.54 : 284,541.21 = 189,263.16 : x
  2. Step 2: Convert to fraction form
    206,190.54/284,541.21 = 189,263.16/x
  3. Step 3: Cross multiply
    206,190.54x = 284,541.21 × 189,263.16
  4. Step 4: Simplify right side
    206,190.54x = 53,853,168,554.82
  5. Step 5: Solve for x
    x = 53,853,168,554.82/206,190.54
  6. Step 6: Final answer
    x = 261,181.57

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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.