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Finding the Fourth Proportional to 193,924.80, 290,656.80 and 81,604.80

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Solution

The fourth proportional to 193,924.80, 290,656.80 and 81,604.80 is: 122,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,924.80 : 290,656.80 = 81,604.80 : x
  2. Step 2: Convert to fraction form
    193,924.80/290,656.80 = 81,604.80/x
  3. Step 3: Cross multiply
    193,924.80x = 290,656.80 × 81,604.80
  4. Step 4: Simplify right side
    193,924.80x = 23,718,990,032.64
  5. Step 5: Solve for x
    x = 23,718,990,032.64/193,924.80
  6. Step 6: Final answer
    x = 122,310.25

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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.