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Finding the Fourth Proportional to 299,803.94, 413,734.86 and 163,843.64

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Solution

The fourth proportional to 299,803.94, 413,734.86 and 163,843.64 is: 226,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,803.94 : 413,734.86 = 163,843.64 : x
  2. Step 2: Convert to fraction form
    299,803.94/413,734.86 = 163,843.64/x
  3. Step 3: Cross multiply
    299,803.94x = 413,734.86 × 163,843.64
  4. Step 4: Simplify right side
    299,803.94x = 67,787,825,457.29
  5. Step 5: Solve for x
    x = 67,787,825,457.29/299,803.94
  6. Step 6: Final answer
    x = 226,107.19

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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.