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Finding the Fourth Proportional to 119,310.16, 178,961.11 and 30,564.54

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Solution

The fourth proportional to 119,310.16, 178,961.11 and 30,564.54 is: 45,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,310.16 : 178,961.11 = 30,564.54 : x
  2. Step 2: Convert to fraction form
    119,310.16/178,961.11 = 30,564.54/x
  3. Step 3: Cross multiply
    119,310.16x = 178,961.11 × 30,564.54
  4. Step 4: Simplify right side
    119,310.16x = 5,469,864,005.04
  5. Step 5: Solve for x
    x = 5,469,864,005.04/119,310.16
  6. Step 6: Final answer
    x = 45,845.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.