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Finding the Fourth Proportional to 277,170.86, 382,495.82 and 149,846.42

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Solution

The fourth proportional to 277,170.86, 382,495.82 and 149,846.42 is: 206,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,170.86 : 382,495.82 = 149,846.42 : x
  2. Step 2: Convert to fraction form
    277,170.86/382,495.82 = 149,846.42/x
  3. Step 3: Cross multiply
    277,170.86x = 382,495.82 × 149,846.42
  4. Step 4: Simplify right side
    277,170.86x = 57,315,626,630.25
  5. Step 5: Solve for x
    x = 57,315,626,630.25/277,170.86
  6. Step 6: Final answer
    x = 206,788.07

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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.