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Finding the Fourth Proportional to 192,455.94, 265,584.46 and 106,412.65

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Solution

The fourth proportional to 192,455.94, 265,584.46 and 106,412.65 is: 146,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,455.94 : 265,584.46 = 106,412.65 : x
  2. Step 2: Convert to fraction form
    192,455.94/265,584.46 = 106,412.65/x
  3. Step 3: Cross multiply
    192,455.94x = 265,584.46 × 106,412.65
  4. Step 4: Simplify right side
    192,455.94x = 28,261,546,187.42
  5. Step 5: Solve for x
    x = 28,261,546,187.42/192,455.94
  6. Step 6: Final answer
    x = 146,846.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.