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Finding the Fourth Proportional to 283,820.25, 425,843.97 and 115,353.51

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Solution

The fourth proportional to 283,820.25, 425,843.97 and 115,353.51 is: 173,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,820.25 : 425,843.97 = 115,353.51 : x
  2. Step 2: Convert to fraction form
    283,820.25/425,843.97 = 115,353.51/x
  3. Step 3: Cross multiply
    283,820.25x = 425,843.97 × 115,353.51
  4. Step 4: Simplify right side
    283,820.25x = 49,122,596,651.83
  5. Step 5: Solve for x
    x = 49,122,596,651.83/283,820.25
  6. Step 6: Final answer
    x = 173,076.43

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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.