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Finding the Fourth Proportional to 283,954.51, 391,859.72 and 154,893.55

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Solution

The fourth proportional to 283,954.51, 391,859.72 and 154,893.55 is: 213,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,954.51 : 391,859.72 = 154,893.55 : x
  2. Step 2: Convert to fraction form
    283,954.51/391,859.72 = 154,893.55/x
  3. Step 3: Cross multiply
    283,954.51x = 391,859.72 × 154,893.55
  4. Step 4: Simplify right side
    283,954.51x = 60,696,542,694.28
  5. Step 5: Solve for x
    x = 60,696,542,694.28/283,954.51
  6. Step 6: Final answer
    x = 213,754.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.