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Finding the Fourth Proportional to 185,168.49, 277,743.43 and 65,231.38

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Solution

The fourth proportional to 185,168.49, 277,743.43 and 65,231.38 is: 97,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,168.49 : 277,743.43 = 65,231.38 : x
  2. Step 2: Convert to fraction form
    185,168.49/277,743.43 = 65,231.38/x
  3. Step 3: Cross multiply
    185,168.49x = 277,743.43 × 65,231.38
  4. Step 4: Simplify right side
    185,168.49x = 18,117,587,224.83
  5. Step 5: Solve for x
    x = 18,117,587,224.83/185,168.49
  6. Step 6: Final answer
    x = 97,843.79

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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.