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Finding the Fourth Proportional to 283,954.51, 391,864.62 and 154,895.17

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Solution

The fourth proportional to 283,954.51, 391,864.62 and 154,895.17 is: 213,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,954.51 : 391,864.62 = 154,895.17 : x
  2. Step 2: Convert to fraction form
    283,954.51/391,864.62 = 154,895.17/x
  3. Step 3: Cross multiply
    283,954.51x = 391,864.62 × 154,895.17
  4. Step 4: Simplify right side
    283,954.51x = 60,697,936,396.54
  5. Step 5: Solve for x
    x = 60,697,936,396.54/283,954.51
  6. Step 6: Final answer
    x = 213,759.37

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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.