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Finding the Fourth Proportional to 278,121.38, 383,804.04 and 150,796.66

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Solution

The fourth proportional to 278,121.38, 383,804.04 and 150,796.66 is: 208,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,121.38 : 383,804.04 = 150,796.66 : x
  2. Step 2: Convert to fraction form
    278,121.38/383,804.04 = 150,796.66/x
  3. Step 3: Cross multiply
    278,121.38x = 383,804.04 × 150,796.66
  4. Step 4: Simplify right side
    278,121.38x = 57,876,367,326.51
  5. Step 5: Solve for x
    x = 57,876,367,326.51/278,121.38
  6. Step 6: Final answer
    x = 208,097.51

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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.