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Finding the Fourth Proportional to 278,131.38, 383,817.60 and 150,804.24

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Solution

The fourth proportional to 278,131.38, 383,817.60 and 150,804.24 is: 208,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,131.38 : 383,817.60 = 150,804.24 : x
  2. Step 2: Convert to fraction form
    278,131.38/383,817.60 = 150,804.24/x
  3. Step 3: Cross multiply
    278,131.38x = 383,817.60 × 150,804.24
  4. Step 4: Simplify right side
    278,131.38x = 57,881,321,466.62
  5. Step 5: Solve for x
    x = 57,881,321,466.62/278,131.38
  6. Step 6: Final answer
    x = 208,107.84

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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.