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Finding the Fourth Proportional to 82,273.52, 123,358.44 and 69,797.90

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Solution

The fourth proportional to 82,273.52, 123,358.44 and 69,797.90 is: 104,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,273.52 : 123,358.44 = 69,797.90 : x
  2. Step 2: Convert to fraction form
    82,273.52/123,358.44 = 69,797.90/x
  3. Step 3: Cross multiply
    82,273.52x = 123,358.44 × 69,797.90
  4. Step 4: Simplify right side
    82,273.52x = 8,610,160,059.28
  5. Step 5: Solve for x
    x = 8,610,160,059.28/82,273.52
  6. Step 6: Final answer
    x = 104,652.87

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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.