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Finding the Fourth Proportional to 277,182.08, 382,512.20 and 149,858.58

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Solution

The fourth proportional to 277,182.08, 382,512.20 and 149,858.58 is: 206,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182.08 : 382,512.20 = 149,858.58 : x
  2. Step 2: Convert to fraction form
    277,182.08/382,512.20 = 149,858.58/x
  3. Step 3: Cross multiply
    277,182.08x = 382,512.20 × 149,858.58
  4. Step 4: Simplify right side
    277,182.08x = 57,322,735,124.68
  5. Step 5: Solve for x
    x = 57,322,735,124.68/277,182.08
  6. Step 6: Final answer
    x = 206,805.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.