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Finding the Fourth Proportional to 279,754.29, 419,673.11 and 99,825.68

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Solution

The fourth proportional to 279,754.29, 419,673.11 and 99,825.68 is: 149,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,754.29 : 419,673.11 = 99,825.68 : x
  2. Step 2: Convert to fraction form
    279,754.29/419,673.11 = 99,825.68/x
  3. Step 3: Cross multiply
    279,754.29x = 419,673.11 × 99,825.68
  4. Step 4: Simplify right side
    279,754.29x = 41,894,150,985.97
  5. Step 5: Solve for x
    x = 41,894,150,985.97/279,754.29
  6. Step 6: Final answer
    x = 149,753.38

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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.