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Finding the Fourth Proportional to 119,374.26, 164,736.64 and 65,659.38

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Solution

The fourth proportional to 119,374.26, 164,736.64 and 65,659.38 is: 90,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,374.26 : 164,736.64 = 65,659.38 : x
  2. Step 2: Convert to fraction form
    119,374.26/164,736.64 = 65,659.38/x
  3. Step 3: Cross multiply
    119,374.26x = 164,736.64 × 65,659.38
  4. Step 4: Simplify right side
    119,374.26x = 10,816,505,645.68
  5. Step 5: Solve for x
    x = 10,816,505,645.68/119,374.26
  6. Step 6: Final answer
    x = 90,610.03

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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.