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Finding the Fourth Proportional to 182,647.28, 273,710.28 and 82,558.64

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Solution

The fourth proportional to 182,647.28, 273,710.28 and 82,558.64 is: 123,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,647.28 : 273,710.28 = 82,558.64 : x
  2. Step 2: Convert to fraction form
    182,647.28/273,710.28 = 82,558.64/x
  3. Step 3: Cross multiply
    182,647.28x = 273,710.28 × 82,558.64
  4. Step 4: Simplify right side
    182,647.28x = 22,597,148,470.82
  5. Step 5: Solve for x
    x = 22,597,148,470.82/182,647.28
  6. Step 6: Final answer
    x = 123,720.15

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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.