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Finding the Fourth Proportional to 192,261.70, 288,392.55 and 113,464.90

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Solution

The fourth proportional to 192,261.70, 288,392.55 and 113,464.90 is: 170,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,261.70 : 288,392.55 = 113,464.90 : x
  2. Step 2: Convert to fraction form
    192,261.70/288,392.55 = 113,464.90/x
  3. Step 3: Cross multiply
    192,261.70x = 288,392.55 × 113,464.90
  4. Step 4: Simplify right side
    192,261.70x = 32,722,431,846.50
  5. Step 5: Solve for x
    x = 32,722,431,846.50/192,261.70
  6. Step 6: Final answer
    x = 170,197.35

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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.