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Finding the Fourth Proportional to 277,255.82, 382,613.94 and 149,932.32

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Solution

The fourth proportional to 277,255.82, 382,613.94 and 149,932.32 is: 206,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,255.82 : 382,613.94 = 149,932.32 : x
  2. Step 2: Convert to fraction form
    277,255.82/382,613.94 = 149,932.32/x
  3. Step 3: Cross multiply
    277,255.82x = 382,613.94 × 149,932.32
  4. Step 4: Simplify right side
    277,255.82x = 57,366,195,688.54
  5. Step 5: Solve for x
    x = 57,366,195,688.54/277,255.82
  6. Step 6: Final answer
    x = 206,907.09

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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.