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Finding the Fourth Proportional to 299,893.38, 413,852.82 and 163,927.86

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Solution

The fourth proportional to 299,893.38, 413,852.82 and 163,927.86 is: 226,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,893.38 : 413,852.82 = 163,927.86 : x
  2. Step 2: Convert to fraction form
    299,893.38/413,852.82 = 163,927.86/x
  3. Step 3: Cross multiply
    299,893.38x = 413,852.82 × 163,927.86
  4. Step 4: Simplify right side
    299,893.38x = 67,842,007,137.57
  5. Step 5: Solve for x
    x = 67,842,007,137.57/299,893.38
  6. Step 6: Final answer
    x = 226,220.42

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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.