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Finding the Fourth Proportional to 192,476.78, 265,605.90 and 106,433.54

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Solution

The fourth proportional to 192,476.78, 265,605.90 and 106,433.54 is: 146,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,476.78 : 265,605.90 = 106,433.54 : x
  2. Step 2: Convert to fraction form
    192,476.78/265,605.90 = 106,433.54/x
  3. Step 3: Cross multiply
    192,476.78x = 265,605.90 × 106,433.54
  4. Step 4: Simplify right side
    192,476.78x = 28,269,376,181.89
  5. Step 5: Solve for x
    x = 28,269,376,181.89/192,476.78
  6. Step 6: Final answer
    x = 146,871.62

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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.