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Finding the Fourth Proportional to 116,090.28, 160,206.39 and 65,114.33

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Solution

The fourth proportional to 116,090.28, 160,206.39 and 65,114.33 is: 89,858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,090.28 : 160,206.39 = 65,114.33 : x
  2. Step 2: Convert to fraction form
    116,090.28/160,206.39 = 65,114.33/x
  3. Step 3: Cross multiply
    116,090.28x = 160,206.39 × 65,114.33
  4. Step 4: Simplify right side
    116,090.28x = 10,431,730,945.54
  5. Step 5: Solve for x
    x = 10,431,730,945.54/116,090.28
  6. Step 6: Final answer
    x = 89,858.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.