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Finding the Fourth Proportional to 182,257.83, 273,355.23 and 82,394.82

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Solution

The fourth proportional to 182,257.83, 273,355.23 and 82,394.82 is: 123,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,257.83 : 273,355.23 = 82,394.82 : x
  2. Step 2: Convert to fraction form
    182,257.83/273,355.23 = 82,394.82/x
  3. Step 3: Cross multiply
    182,257.83x = 273,355.23 × 82,394.82
  4. Step 4: Simplify right side
    182,257.83x = 22,523,054,971.91
  5. Step 5: Solve for x
    x = 22,523,054,971.91/182,257.83
  6. Step 6: Final answer
    x = 123,577.98

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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.