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Finding the Fourth Proportional to 85,147.05, 116,652.00 and 81,954.64

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Solution

The fourth proportional to 85,147.05, 116,652.00 and 81,954.64 is: 112,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.05 : 116,652.00 = 81,954.64 : x
  2. Step 2: Convert to fraction form
    85,147.05/116,652.00 = 81,954.64/x
  3. Step 3: Cross multiply
    85,147.05x = 116,652.00 × 81,954.64
  4. Step 4: Simplify right side
    85,147.05x = 9,560,172,001.26
  5. Step 5: Solve for x
    x = 9,560,172,001.26/85,147.05
  6. Step 6: Final answer
    x = 112,278.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.