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Finding the Fourth Proportional to 277,107.86, 382,408.62 and 149,783.46

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Solution

The fourth proportional to 277,107.86, 382,408.62 and 149,783.46 is: 206,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,107.86 : 382,408.62 = 149,783.46 : x
  2. Step 2: Convert to fraction form
    277,107.86/382,408.62 = 149,783.46/x
  3. Step 3: Cross multiply
    277,107.86x = 382,408.62 × 149,783.46
  4. Step 4: Simplify right side
    277,107.86x = 57,278,486,237.43
  5. Step 5: Solve for x
    x = 57,278,486,237.43/277,107.86
  6. Step 6: Final answer
    x = 206,701.06

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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.