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Finding the Fourth Proportional to 277,093.60, 382,387.92 and 149,768.88

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Solution

The fourth proportional to 277,093.60, 382,387.92 and 149,768.88 is: 206,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,093.60 : 382,387.92 = 149,768.88 : x
  2. Step 2: Convert to fraction form
    277,093.60/382,387.92 = 149,768.88/x
  3. Step 3: Cross multiply
    277,093.60x = 382,387.92 × 149,768.88
  4. Step 4: Simplify right side
    277,093.60x = 57,269,810,503.93
  5. Step 5: Solve for x
    x = 57,269,810,503.93/277,093.60
  6. Step 6: Final answer
    x = 206,680.38

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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.