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Finding the Fourth Proportional to 299,790.26, 413,709.68 and 163,825.04

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Solution

The fourth proportional to 299,790.26, 413,709.68 and 163,825.04 is: 226,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,790.26 : 413,709.68 = 163,825.04 : x
  2. Step 2: Convert to fraction form
    299,790.26/413,709.68 = 163,825.04/x
  3. Step 3: Cross multiply
    299,790.26x = 413,709.68 × 163,825.04
  4. Step 4: Simplify right side
    299,790.26x = 67,776,004,874.39
  5. Step 5: Solve for x
    x = 67,776,004,874.39/299,790.26
  6. Step 6: Final answer
    x = 226,078.07

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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.