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Finding the Fourth Proportional to 270,591, 405,882.24 and 93,099.54

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Solution

The fourth proportional to 270,591, 405,882.24 and 93,099.54 is: 139,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,591 : 405,882.24 = 93,099.54 : x
  2. Step 2: Convert to fraction form
    270,591/405,882.24 = 93,099.54/x
  3. Step 3: Cross multiply
    270,591x = 405,882.24 × 93,099.54
  4. Step 4: Simplify right side
    270,591x = 37,787,449,838.17
  5. Step 5: Solve for x
    x = 37,787,449,838.17/270,591
  6. Step 6: Final answer
    x = 139,647.84

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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.