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Finding the Fourth Proportional to 180,031.38, 269,880.14 and 61,674.60

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Solution

The fourth proportional to 180,031.38, 269,880.14 and 61,674.60 is: 92,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.38 : 269,880.14 = 61,674.60 : x
  2. Step 2: Convert to fraction form
    180,031.38/269,880.14 = 61,674.60/x
  3. Step 3: Cross multiply
    180,031.38x = 269,880.14 × 61,674.60
  4. Step 4: Simplify right side
    180,031.38x = 16,644,749,682.44
  5. Step 5: Solve for x
    x = 16,644,749,682.44/180,031.38
  6. Step 6: Final answer
    x = 92,454.71

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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.