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Finding the Fourth Proportional to 116,500.38, 160,797.12 and 82,473.54

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Solution

The fourth proportional to 116,500.38, 160,797.12 and 82,473.54 is: 113,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500.38 : 160,797.12 = 82,473.54 : x
  2. Step 2: Convert to fraction form
    116,500.38/160,797.12 = 82,473.54/x
  3. Step 3: Cross multiply
    116,500.38x = 160,797.12 × 82,473.54
  4. Step 4: Simplify right side
    116,500.38x = 13,261,507,708.20
  5. Step 5: Solve for x
    x = 13,261,507,708.20/116,500.38
  6. Step 6: Final answer
    x = 113,832.31

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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.