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Finding the Fourth Proportional to 299,797.13, 413,725.46 and 163,836.81

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Solution

The fourth proportional to 299,797.13, 413,725.46 and 163,836.81 is: 226,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,797.13 : 413,725.46 = 163,836.81 : x
  2. Step 2: Convert to fraction form
    299,797.13/413,725.46 = 163,836.81/x
  3. Step 3: Cross multiply
    299,797.13x = 413,725.46 × 163,836.81
  4. Step 4: Simplify right side
    299,797.13x = 67,783,458,763.00
  5. Step 5: Solve for x
    x = 67,783,458,763.00/299,797.13
  6. Step 6: Final answer
    x = 226,097.76

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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.