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Finding the Fourth Proportional to 299,536.30, 449,295.81 and 121,999.42

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Solution

The fourth proportional to 299,536.30, 449,295.81 and 121,999.42 is: 182,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,536.30 : 449,295.81 = 121,999.42 : x
  2. Step 2: Convert to fraction form
    299,536.30/449,295.81 = 121,999.42/x
  3. Step 3: Cross multiply
    299,536.30x = 449,295.81 × 121,999.42
  4. Step 4: Simplify right side
    299,536.30x = 54,813,828,228.43
  5. Step 5: Solve for x
    x = 54,813,828,228.43/299,536.30
  6. Step 6: Final answer
    x = 182,995.61

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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.