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Finding the Fourth Proportional to 283,755.60, 425,604.60 and 96,764.40

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Solution

The fourth proportional to 283,755.60, 425,604.60 and 96,764.40 is: 145,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,755.60 : 425,604.60 = 96,764.40 : x
  2. Step 2: Convert to fraction form
    283,755.60/425,604.60 = 96,764.40/x
  3. Step 3: Cross multiply
    283,755.60x = 425,604.60 × 96,764.40
  4. Step 4: Simplify right side
    283,755.60x = 41,183,373,756.24
  5. Step 5: Solve for x
    x = 41,183,373,756.24/283,755.60
  6. Step 6: Final answer
    x = 145,136.78

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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.