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Finding the Fourth Proportional to 277,181.88, 382,510.80 and 149,857.56

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Solution

The fourth proportional to 277,181.88, 382,510.80 and 149,857.56 is: 206,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,181.88 : 382,510.80 = 149,857.56 : x
  2. Step 2: Convert to fraction form
    277,181.88/382,510.80 = 149,857.56/x
  3. Step 3: Cross multiply
    277,181.88x = 382,510.80 × 149,857.56
  4. Step 4: Simplify right side
    277,181.88x = 57,322,135,161.65
  5. Step 5: Solve for x
    x = 57,322,135,161.65/277,181.88
  6. Step 6: Final answer
    x = 206,803.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.