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Finding the Fourth Proportional to 278,317.13, 384,078.38 and 150,992.72

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Solution

The fourth proportional to 278,317.13, 384,078.38 and 150,992.72 is: 208,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,317.13 : 384,078.38 = 150,992.72 : x
  2. Step 2: Convert to fraction form
    278,317.13/384,078.38 = 150,992.72/x
  3. Step 3: Cross multiply
    278,317.13x = 384,078.38 × 150,992.72
  4. Step 4: Simplify right side
    278,317.13x = 57,993,039,289.39
  5. Step 5: Solve for x
    x = 57,993,039,289.39/278,317.13
  6. Step 6: Final answer
    x = 208,370.36

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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.