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Finding the Fourth Proportional to 278,314.82, 384,074.60 and 150,990.38

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Solution

The fourth proportional to 278,314.82, 384,074.60 and 150,990.38 is: 208,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314.82 : 384,074.60 = 150,990.38 : x
  2. Step 2: Convert to fraction form
    278,314.82/384,074.60 = 150,990.38/x
  3. Step 3: Cross multiply
    278,314.82x = 384,074.60 × 150,990.38
  4. Step 4: Simplify right side
    278,314.82x = 57,991,567,127.02
  5. Step 5: Solve for x
    x = 57,991,567,127.02/278,314.82
  6. Step 6: Final answer
    x = 208,366.80

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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.