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Finding the Fourth Proportional to 277,682.73, 416,690.82 and 119,911.20

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Solution

The fourth proportional to 277,682.73, 416,690.82 and 119,911.20 is: 179,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,682.73 : 416,690.82 = 119,911.20 : x
  2. Step 2: Convert to fraction form
    277,682.73/416,690.82 = 119,911.20/x
  3. Step 3: Cross multiply
    277,682.73x = 416,690.82 × 119,911.20
  4. Step 4: Simplify right side
    277,682.73x = 49,965,896,255.18
  5. Step 5: Solve for x
    x = 49,965,896,255.18/277,682.73
  6. Step 6: Final answer
    x = 179,938.80

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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.