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Finding the Fourth Proportional to 82,103.34, 123,193.29 and 80,776.56

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Solution

The fourth proportional to 82,103.34, 123,193.29 and 80,776.56 is: 121,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.34 : 123,193.29 = 80,776.56 : x
  2. Step 2: Convert to fraction form
    82,103.34/123,193.29 = 80,776.56/x
  3. Step 3: Cross multiply
    82,103.34x = 123,193.29 × 80,776.56
  4. Step 4: Simplify right side
    82,103.34x = 9,951,130,181.28
  5. Step 5: Solve for x
    x = 9,951,130,181.28/82,103.34
  6. Step 6: Final answer
    x = 121,202.50

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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.