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Finding the Fourth Proportional to 283,862.97, 425,819.06 and 103,997.25

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Solution

The fourth proportional to 283,862.97, 425,819.06 and 103,997.25 is: 156,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,862.97 : 425,819.06 = 103,997.25 : x
  2. Step 2: Convert to fraction form
    283,862.97/425,819.06 = 103,997.25/x
  3. Step 3: Cross multiply
    283,862.97x = 425,819.06 × 103,997.25
  4. Step 4: Simplify right side
    283,862.97x = 44,284,010,717.60
  5. Step 5: Solve for x
    x = 44,284,010,717.60/283,862.97
  6. Step 6: Final answer
    x = 156,004.89

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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.