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Finding the Fourth Proportional to 300,730.92, 415,008.65 and 164,770.02

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Solution

The fourth proportional to 300,730.92, 415,008.65 and 164,770.02 is: 227,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,730.92 : 415,008.65 = 164,770.02 : x
  2. Step 2: Convert to fraction form
    300,730.92/415,008.65 = 164,770.02/x
  3. Step 3: Cross multiply
    300,730.92x = 415,008.65 × 164,770.02
  4. Step 4: Simplify right side
    300,730.92x = 68,380,983,972.60
  5. Step 5: Solve for x
    x = 68,380,983,972.60/300,730.92
  6. Step 6: Final answer
    x = 227,382.62

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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.