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Finding the Fourth Proportional to 116,098.56, 160,209.36 and 65,107.44

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Solution

The fourth proportional to 116,098.56, 160,209.36 and 65,107.44 is: 89,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098.56 : 160,209.36 = 65,107.44 : x
  2. Step 2: Convert to fraction form
    116,098.56/160,209.36 = 65,107.44/x
  3. Step 3: Cross multiply
    116,098.56x = 160,209.36 × 65,107.44
  4. Step 4: Simplify right side
    116,098.56x = 10,430,821,293.64
  5. Step 5: Solve for x
    x = 10,430,821,293.64/116,098.56
  6. Step 6: Final answer
    x = 89,844.54

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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.