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Finding the Fourth Proportional to 82,523.70, 123,676.20 and 73,119.60

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Solution

The fourth proportional to 82,523.70, 123,676.20 and 73,119.60 is: 109,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.70 : 123,676.20 = 73,119.60 : x
  2. Step 2: Convert to fraction form
    82,523.70/123,676.20 = 73,119.60/x
  3. Step 3: Cross multiply
    82,523.70x = 123,676.20 × 73,119.60
  4. Step 4: Simplify right side
    82,523.70x = 9,043,154,273.52
  5. Step 5: Solve for x
    x = 9,043,154,273.52/82,523.70
  6. Step 6: Final answer
    x = 109,582.51

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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.