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Finding the Fourth Proportional to 182,259.84, 273,358.22 and 82,396.82

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Solution

The fourth proportional to 182,259.84, 273,358.22 and 82,396.82 is: 123,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,259.84 : 273,358.22 = 82,396.82 : x
  2. Step 2: Convert to fraction form
    182,259.84/273,358.22 = 82,396.82/x
  3. Step 3: Cross multiply
    182,259.84x = 273,358.22 × 82,396.82
  4. Step 4: Simplify right side
    182,259.84x = 22,523,848,048.86
  5. Step 5: Solve for x
    x = 22,523,848,048.86/182,259.84
  6. Step 6: Final answer
    x = 123,580.97

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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.