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Finding the Fourth Proportional to 277,138.22, 382,451.04 and 149,813.84

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Solution

The fourth proportional to 277,138.22, 382,451.04 and 149,813.84 is: 206,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.22 : 382,451.04 = 149,813.84 : x
  2. Step 2: Convert to fraction form
    277,138.22/382,451.04 = 149,813.84/x
  3. Step 3: Cross multiply
    277,138.22x = 382,451.04 × 149,813.84
  4. Step 4: Simplify right side
    277,138.22x = 57,296,458,914.39
  5. Step 5: Solve for x
    x = 57,296,458,914.39/277,138.22
  6. Step 6: Final answer
    x = 206,743.26

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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.