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Finding the Fourth Proportional to 299,890.78, 413,860.40 and 163,933.95

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Solution

The fourth proportional to 299,890.78, 413,860.40 and 163,933.95 is: 226,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,890.78 : 413,860.40 = 163,933.95 : x
  2. Step 2: Convert to fraction form
    299,890.78/413,860.40 = 163,933.95/x
  3. Step 3: Cross multiply
    299,890.78x = 413,860.40 × 163,933.95
  4. Step 4: Simplify right side
    299,890.78x = 67,845,770,120.58
  5. Step 5: Solve for x
    x = 67,845,770,120.58/299,890.78
  6. Step 6: Final answer
    x = 226,234.93

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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.