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Finding the Fourth Proportional to 116,452.49, 160,694.56 and 65,461.37

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Solution

The fourth proportional to 116,452.49, 160,694.56 and 65,461.37 is: 90,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,452.49 : 160,694.56 = 65,461.37 : x
  2. Step 2: Convert to fraction form
    116,452.49/160,694.56 = 65,461.37/x
  3. Step 3: Cross multiply
    116,452.49x = 160,694.56 × 65,461.37
  4. Step 4: Simplify right side
    116,452.49x = 10,519,286,049.15
  5. Step 5: Solve for x
    x = 10,519,286,049.15/116,452.49
  6. Step 6: Final answer
    x = 90,331.14

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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.