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Finding the Fourth Proportional to 111,062.60, 166,423.80 and 82,850.30

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Solution

The fourth proportional to 111,062.60, 166,423.80 and 82,850.30 is: 124,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,062.60 : 166,423.80 = 82,850.30 : x
  2. Step 2: Convert to fraction form
    111,062.60/166,423.80 = 82,850.30/x
  3. Step 3: Cross multiply
    111,062.60x = 166,423.80 × 82,850.30
  4. Step 4: Simplify right side
    111,062.60x = 13,788,261,757.14
  5. Step 5: Solve for x
    x = 13,788,261,757.14/111,062.60
  6. Step 6: Final answer
    x = 124,148.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.