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Finding the Fourth Proportional to 277,182.82, 382,512.25 and 149,858.42

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Solution

The fourth proportional to 277,182.82, 382,512.25 and 149,858.42 is: 206,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182.82 : 382,512.25 = 149,858.42 : x
  2. Step 2: Convert to fraction form
    277,182.82/382,512.25 = 149,858.42/x
  3. Step 3: Cross multiply
    277,182.82x = 382,512.25 × 149,858.42
  4. Step 4: Simplify right side
    277,182.82x = 57,322,679,690.41
  5. Step 5: Solve for x
    x = 57,322,679,690.41/277,182.82
  6. Step 6: Final answer
    x = 206,804.59

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1.5x scale

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.