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Finding the Fourth Proportional to 116,494,138.40, 174,741,207.60 and 80,214,432.80

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Solution

The fourth proportional to 116,494,138.40, 174,741,207.60 and 80,214,432.80 is: 120,321,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,494,138.40 : 174,741,207.60 = 80,214,432.80 : x
  2. Step 2: Convert to fraction form
    116,494,138.40/174,741,207.60 = 80,214,432.80/x
  3. Step 3: Cross multiply
    116,494,138.40x = 174,741,207.60 × 80,214,432.80
  4. Step 4: Simplify right side
    116,494,138.40x = 14,016,766,854,421,048
  5. Step 5: Solve for x
    x = 14,016,766,854,421,048/116,494,138.40
  6. Step 6: Final answer
    x = 120,321,649.20

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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.