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Finding the Fourth Proportional to 182,208.60, 273,388.50 and 82,299.96

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Solution

The fourth proportional to 182,208.60, 273,388.50 and 82,299.96 is: 123,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,208.60 : 273,388.50 = 82,299.96 : x
  2. Step 2: Convert to fraction form
    182,208.60/273,388.50 = 82,299.96/x
  3. Step 3: Cross multiply
    182,208.60x = 273,388.50 × 82,299.96
  4. Step 4: Simplify right side
    182,208.60x = 22,499,862,614.46
  5. Step 5: Solve for x
    x = 22,499,862,614.46/182,208.60
  6. Step 6: Final answer
    x = 123,484.09

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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.