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Finding the Fourth Proportional to 180,590.44, 270,882.78 and 49,262.44

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Solution

The fourth proportional to 180,590.44, 270,882.78 and 49,262.44 is: 73,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,590.44 : 270,882.78 = 49,262.44 : x
  2. Step 2: Convert to fraction form
    180,590.44/270,882.78 = 49,262.44/x
  3. Step 3: Cross multiply
    180,590.44x = 270,882.78 × 49,262.44
  4. Step 4: Simplify right side
    180,590.44x = 13,344,346,696.78
  5. Step 5: Solve for x
    x = 13,344,346,696.78/180,590.44
  6. Step 6: Final answer
    x = 73,892.87

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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.