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Finding the Fourth Proportional to 277,846.83, 416,580.71 and 133,676.55

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Solution

The fourth proportional to 277,846.83, 416,580.71 and 133,676.55 is: 200,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,846.83 : 416,580.71 = 133,676.55 : x
  2. Step 2: Convert to fraction form
    277,846.83/416,580.71 = 133,676.55/x
  3. Step 3: Cross multiply
    277,846.83x = 416,580.71 × 133,676.55
  4. Step 4: Simplify right side
    277,846.83x = 55,687,071,440.97
  5. Step 5: Solve for x
    x = 55,687,071,440.97/277,846.83
  6. Step 6: Final answer
    x = 200,423.63

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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.