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Finding the Fourth Proportional to 192,393.10, 288,261.60 and 164,180.80

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Solution

The fourth proportional to 192,393.10, 288,261.60 and 164,180.80 is: 245,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,393.10 : 288,261.60 = 164,180.80 : x
  2. Step 2: Convert to fraction form
    192,393.10/288,261.60 = 164,180.80/x
  3. Step 3: Cross multiply
    192,393.10x = 288,261.60 × 164,180.80
  4. Step 4: Simplify right side
    192,393.10x = 47,327,020,097.28
  5. Step 5: Solve for x
    x = 47,327,020,097.28/192,393.10
  6. Step 6: Final answer
    x = 245,991.25

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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.