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Finding the Fourth Proportional to 119,189.92, 164,420.40 and 80,951.44

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Solution

The fourth proportional to 119,189.92, 164,420.40 and 80,951.44 is: 111,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,189.92 : 164,420.40 = 80,951.44 : x
  2. Step 2: Convert to fraction form
    119,189.92/164,420.40 = 80,951.44/x
  3. Step 3: Cross multiply
    119,189.92x = 164,420.40 × 80,951.44
  4. Step 4: Simplify right side
    119,189.92x = 13,310,068,145.38
  5. Step 5: Solve for x
    x = 13,310,068,145.38/119,189.92
  6. Step 6: Final answer
    x = 111,671.09

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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.