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Finding the Fourth Proportional to 323,178.86, 446,005.22 and 194,156.79

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Solution

The fourth proportional to 323,178.86, 446,005.22 and 194,156.79 is: 267,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,178.86 : 446,005.22 = 194,156.79 : x
  2. Step 2: Convert to fraction form
    323,178.86/446,005.22 = 194,156.79/x
  3. Step 3: Cross multiply
    323,178.86x = 446,005.22 × 194,156.79
  4. Step 4: Simplify right side
    323,178.86x = 86,594,940,867.66
  5. Step 5: Solve for x
    x = 86,594,940,867.66/323,178.86
  6. Step 6: Final answer
    x = 267,947.42

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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.