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Finding the Fourth Proportional to 116,194.68, 174,015.54 and 66,843

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Solution

The fourth proportional to 116,194.68, 174,015.54 and 66,843 is: 100,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,194.68 : 174,015.54 = 66,843 : x
  2. Step 2: Convert to fraction form
    116,194.68/174,015.54 = 66,843/x
  3. Step 3: Cross multiply
    116,194.68x = 174,015.54 × 66,843
  4. Step 4: Simplify right side
    116,194.68x = 11,631,720,740.22
  5. Step 5: Solve for x
    x = 11,631,720,740.22/116,194.68
  6. Step 6: Final answer
    x = 100,105.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.