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Finding the Fourth Proportional to 277,121.00, 381,904.42 and 200,510.39

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Solution

The fourth proportional to 277,121.00, 381,904.42 and 200,510.39 is: 276,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,121.00 : 381,904.42 = 200,510.39 : x
  2. Step 2: Convert to fraction form
    277,121.00/381,904.42 = 200,510.39/x
  3. Step 3: Cross multiply
    277,121.00x = 381,904.42 × 200,510.39
  4. Step 4: Simplify right side
    277,121.00x = 76,575,802,878.15
  5. Step 5: Solve for x
    x = 76,575,802,878.15/277,121.00
  6. Step 6: Final answer
    x = 276,326.24

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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.