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Finding the Fourth Proportional to 299,707.92, 449,783.77 and 141,936.83

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Solution

The fourth proportional to 299,707.92, 449,783.77 and 141,936.83 is: 213,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,707.92 : 449,783.77 = 141,936.83 : x
  2. Step 2: Convert to fraction form
    299,707.92/449,783.77 = 141,936.83/x
  3. Step 3: Cross multiply
    299,707.92x = 449,783.77 × 141,936.83
  4. Step 4: Simplify right side
    299,707.92x = 63,840,882,854.09
  5. Step 5: Solve for x
    x = 63,840,882,854.09/299,707.92
  6. Step 6: Final answer
    x = 213,010.33

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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.