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Finding the Fourth Proportional to 271,845.40, 407,826.46 and 105,633.40

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Solution

The fourth proportional to 271,845.40, 407,826.46 and 105,633.40 is: 158,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,845.40 : 407,826.46 = 105,633.40 : x
  2. Step 2: Convert to fraction form
    271,845.40/407,826.46 = 105,633.40/x
  3. Step 3: Cross multiply
    271,845.40x = 407,826.46 × 105,633.40
  4. Step 4: Simplify right side
    271,845.40x = 43,080,095,579.76
  5. Step 5: Solve for x
    x = 43,080,095,579.76/271,845.40
  6. Step 6: Final answer
    x = 158,472.78

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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.