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Finding the Fourth Proportional to 278,523.54, 417,923.40 and 110,164.68

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Solution

The fourth proportional to 278,523.54, 417,923.40 and 110,164.68 is: 165,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523.54 : 417,923.40 = 110,164.68 : x
  2. Step 2: Convert to fraction form
    278,523.54/417,923.40 = 110,164.68/x
  3. Step 3: Cross multiply
    278,523.54x = 417,923.40 × 110,164.68
  4. Step 4: Simplify right side
    278,523.54x = 46,040,397,625.51
  5. Step 5: Solve for x
    x = 46,040,397,625.51/278,523.54
  6. Step 6: Final answer
    x = 165,301.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.