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Finding the Fourth Proportional to 138,162.38, 190,664.09 and 78,546.38

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Solution

The fourth proportional to 138,162.38, 190,664.09 and 78,546.38 is: 108,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.38 : 190,664.09 = 78,546.38 : x
  2. Step 2: Convert to fraction form
    138,162.38/190,664.09 = 78,546.38/x
  3. Step 3: Cross multiply
    138,162.38x = 190,664.09 × 78,546.38
  4. Step 4: Simplify right side
    138,162.38x = 14,975,972,719.44
  5. Step 5: Solve for x
    x = 14,975,972,719.44/138,162.38
  6. Step 6: Final answer
    x = 108,394.00

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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.