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Finding the Fourth Proportional to 182,071.90, 273,043.05 and 82,279.90

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Solution

The fourth proportional to 182,071.90, 273,043.05 and 82,279.90 is: 123,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,071.90 : 273,043.05 = 82,279.90 : x
  2. Step 2: Convert to fraction form
    182,071.90/273,043.05 = 82,279.90/x
  3. Step 3: Cross multiply
    182,071.90x = 273,043.05 × 82,279.90
  4. Step 4: Simplify right side
    182,071.90x = 22,465,954,849.70
  5. Step 5: Solve for x
    x = 22,465,954,849.70/182,071.90
  6. Step 6: Final answer
    x = 123,390.57

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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.