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Finding the Fourth Proportional to 82,507.52, 123,760.20 and 20,178.56

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Solution

The fourth proportional to 82,507.52, 123,760.20 and 20,178.56 is: 30,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.52 : 123,760.20 = 20,178.56 : x
  2. Step 2: Convert to fraction form
    82,507.52/123,760.20 = 20,178.56/x
  3. Step 3: Cross multiply
    82,507.52x = 123,760.20 × 20,178.56
  4. Step 4: Simplify right side
    82,507.52x = 2,497,302,621.31
  5. Step 5: Solve for x
    x = 2,497,302,621.31/82,507.52
  6. Step 6: Final answer
    x = 30,267.58

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