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Finding the Fourth Proportional to 277,759.47, 416,553.07 and 100,243.41

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Solution

The fourth proportional to 277,759.47, 416,553.07 and 100,243.41 is: 150,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,759.47 : 416,553.07 = 100,243.41 : x
  2. Step 2: Convert to fraction form
    277,759.47/416,553.07 = 100,243.41/x
  3. Step 3: Cross multiply
    277,759.47x = 416,553.07 × 100,243.41
  4. Step 4: Simplify right side
    277,759.47x = 41,756,700,182.77
  5. Step 5: Solve for x
    x = 41,756,700,182.77/277,759.47
  6. Step 6: Final answer
    x = 150,334.03

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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.