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Finding the Fourth Proportional to 192,662.16, 288,805.32 and 80,374.64

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Solution

The fourth proportional to 192,662.16, 288,805.32 and 80,374.64 is: 120,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,662.16 : 288,805.32 = 80,374.64 : x
  2. Step 2: Convert to fraction form
    192,662.16/288,805.32 = 80,374.64/x
  3. Step 3: Cross multiply
    192,662.16x = 288,805.32 × 80,374.64
  4. Step 4: Simplify right side
    192,662.16x = 23,212,623,625.08
  5. Step 5: Solve for x
    x = 23,212,623,625.08/192,662.16
  6. Step 6: Final answer
    x = 120,483.56

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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.