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Finding the Fourth Proportional to 180,098.37, 270,287.01 and 67,880.67

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Solution

The fourth proportional to 180,098.37, 270,287.01 and 67,880.67 is: 101,873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,098.37 : 270,287.01 = 67,880.67 : x
  2. Step 2: Convert to fraction form
    180,098.37/270,287.01 = 67,880.67/x
  3. Step 3: Cross multiply
    180,098.37x = 270,287.01 × 67,880.67
  4. Step 4: Simplify right side
    180,098.37x = 18,347,262,317.52
  5. Step 5: Solve for x
    x = 18,347,262,317.52/180,098.37
  6. Step 6: Final answer
    x = 101,873.56

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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.