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Finding the Fourth Proportional to 277,228.26, 382,575.30 and 149,903.82

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Solution

The fourth proportional to 277,228.26, 382,575.30 and 149,903.82 is: 206,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,228.26 : 382,575.30 = 149,903.82 : x
  2. Step 2: Convert to fraction form
    277,228.26/382,575.30 = 149,903.82/x
  3. Step 3: Cross multiply
    277,228.26x = 382,575.30 × 149,903.82
  4. Step 4: Simplify right side
    277,228.26x = 57,349,498,907.65
  5. Step 5: Solve for x
    x = 57,349,498,907.65/277,228.26
  6. Step 6: Final answer
    x = 206,867.43

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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.