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Finding the Fourth Proportional to 283,698.70, 425,645.26 and 96,841.42

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Solution

The fourth proportional to 283,698.70, 425,645.26 and 96,841.42 is: 145,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,698.70 : 425,645.26 = 96,841.42 : x
  2. Step 2: Convert to fraction form
    283,698.70/425,645.26 = 96,841.42/x
  3. Step 3: Cross multiply
    283,698.70x = 425,645.26 × 96,841.42
  4. Step 4: Simplify right side
    283,698.70x = 41,220,091,394.67
  5. Step 5: Solve for x
    x = 41,220,091,394.67/283,698.70
  6. Step 6: Final answer
    x = 145,295.31

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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.