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Finding the Fourth Proportional to 192,477.96, 265,608.81 and 106,431.96

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Solution

The fourth proportional to 192,477.96, 265,608.81 and 106,431.96 is: 146,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,477.96 : 265,608.81 = 106,431.96 : x
  2. Step 2: Convert to fraction form
    192,477.96/265,608.81 = 106,431.96/x
  3. Step 3: Cross multiply
    192,477.96x = 265,608.81 × 106,431.96
  4. Step 4: Simplify right side
    192,477.96x = 28,269,266,241.57
  5. Step 5: Solve for x
    x = 28,269,266,241.57/192,477.96
  6. Step 6: Final answer
    x = 146,870.15

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Why These Related Problems?

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