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Finding the Fourth Proportional to 277,101.86, 382,400.34 and 149,777.45

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Solution

The fourth proportional to 277,101.86, 382,400.34 and 149,777.45 is: 206,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,101.86 : 382,400.34 = 149,777.45 : x
  2. Step 2: Convert to fraction form
    277,101.86/382,400.34 = 149,777.45/x
  3. Step 3: Cross multiply
    277,101.86x = 382,400.34 × 149,777.45
  4. Step 4: Simplify right side
    277,101.86x = 57,274,947,888.00
  5. Step 5: Solve for x
    x = 57,274,947,888.00/277,101.86
  6. Step 6: Final answer
    x = 206,692.76

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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.