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Finding the Fourth Proportional to 192,708.81, 265,917.35 and 106,654.12

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Solution

The fourth proportional to 192,708.81, 265,917.35 and 106,654.12 is: 147,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,708.81 : 265,917.35 = 106,654.12 : x
  2. Step 2: Convert to fraction form
    192,708.81/265,917.35 = 106,654.12/x
  3. Step 3: Cross multiply
    192,708.81x = 265,917.35 × 106,654.12
  4. Step 4: Simplify right side
    192,708.81x = 28,361,180,558.82
  5. Step 5: Solve for x
    x = 28,361,180,558.82/192,708.81
  6. Step 6: Final answer
    x = 147,171.17

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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.