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Finding the Fourth Proportional to 283,535.70, 425,289.42 and 106,029.66

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Solution

The fourth proportional to 283,535.70, 425,289.42 and 106,029.66 is: 159,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,535.70 : 425,289.42 = 106,029.66 : x
  2. Step 2: Convert to fraction form
    283,535.70/425,289.42 = 106,029.66/x
  3. Step 3: Cross multiply
    283,535.70x = 425,289.42 × 106,029.66
  4. Step 4: Simplify right side
    283,535.70x = 45,093,292,604.20
  5. Step 5: Solve for x
    x = 45,093,292,604.20/283,535.70
  6. Step 6: Final answer
    x = 159,039.21

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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.