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Finding the Fourth Proportional to 277,137.99, 382,450.28 and 149,813.82

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Solution

The fourth proportional to 277,137.99, 382,450.28 and 149,813.82 is: 206,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.99 : 382,450.28 = 149,813.82 : x
  2. Step 2: Convert to fraction form
    277,137.99/382,450.28 = 149,813.82/x
  3. Step 3: Cross multiply
    277,137.99x = 382,450.28 × 149,813.82
  4. Step 4: Simplify right side
    277,137.99x = 57,296,336,657.80
  5. Step 5: Solve for x
    x = 57,296,336,657.80/277,137.99
  6. Step 6: Final answer
    x = 206,742.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.