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Finding the Fourth Proportional to 277,846.06, 416,579.37 and 133,675.78

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Solution

The fourth proportional to 277,846.06, 416,579.37 and 133,675.78 is: 200,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,846.06 : 416,579.37 = 133,675.78 : x
  2. Step 2: Convert to fraction form
    277,846.06/416,579.37 = 133,675.78/x
  3. Step 3: Cross multiply
    277,846.06x = 416,579.37 × 133,675.78
  4. Step 4: Simplify right side
    277,846.06x = 55,686,572,216.66
  5. Step 5: Solve for x
    x = 55,686,572,216.66/277,846.06
  6. Step 6: Final answer
    x = 200,422.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.