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Finding the Fourth Proportional to 277,759.26, 383,309.82 and 150,435.90

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Solution

The fourth proportional to 277,759.26, 383,309.82 and 150,435.90 is: 207,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,759.26 : 383,309.82 = 150,435.90 : x
  2. Step 2: Convert to fraction form
    277,759.26/383,309.82 = 150,435.90/x
  3. Step 3: Cross multiply
    277,759.26x = 383,309.82 × 150,435.90
  4. Step 4: Simplify right side
    277,759.26x = 57,663,557,750.54
  5. Step 5: Solve for x
    x = 57,663,557,750.54/277,759.26
  6. Step 6: Final answer
    x = 207,602.65

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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.