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Finding the Fourth Proportional to 119,498.92, 164,914.46 and 65,783.37

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Solution

The fourth proportional to 119,498.92, 164,914.46 and 65,783.37 is: 90,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,498.92 : 164,914.46 = 65,783.37 : x
  2. Step 2: Convert to fraction form
    119,498.92/164,914.46 = 65,783.37/x
  3. Step 3: Cross multiply
    119,498.92x = 164,914.46 × 65,783.37
  4. Step 4: Simplify right side
    119,498.92x = 10,848,628,940.53
  5. Step 5: Solve for x
    x = 10,848,628,940.53/119,498.92
  6. Step 6: Final answer
    x = 90,784.33

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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.