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Finding the Fourth Proportional to 283,698.54, 425,644.98 and 96,841.26

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Solution

The fourth proportional to 283,698.54, 425,644.98 and 96,841.26 is: 145,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,698.54 : 425,644.98 = 96,841.26 : x
  2. Step 2: Convert to fraction form
    283,698.54/425,644.98 = 96,841.26/x
  3. Step 3: Cross multiply
    283,698.54x = 425,644.98 × 96,841.26
  4. Step 4: Simplify right side
    283,698.54x = 41,219,996,175.87
  5. Step 5: Solve for x
    x = 41,219,996,175.87/283,698.54
  6. Step 6: Final answer
    x = 145,295.06

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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.