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Finding the Fourth Proportional to 300,844.80, 415,169.09 and 164,875.82

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Solution

The fourth proportional to 300,844.80, 415,169.09 and 164,875.82 is: 227,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,844.80 : 415,169.09 = 164,875.82 : x
  2. Step 2: Convert to fraction form
    300,844.80/415,169.09 = 164,875.82/x
  3. Step 3: Cross multiply
    300,844.80x = 415,169.09 × 164,875.82
  4. Step 4: Simplify right side
    300,844.80x = 68,451,344,965.61
  5. Step 5: Solve for x
    x = 68,451,344,965.61/300,844.80
  6. Step 6: Final answer
    x = 227,530.42

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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.