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Finding the Fourth Proportional to 119,296, 178,945.08 and 36,190

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Solution

The fourth proportional to 119,296, 178,945.08 and 36,190 is: 54,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296 : 178,945.08 = 36,190 : x
  2. Step 2: Convert to fraction form
    119,296/178,945.08 = 36,190/x
  3. Step 3: Cross multiply
    119,296x = 178,945.08 × 36,190
  4. Step 4: Simplify right side
    119,296x = 6,476,022,445.20
  5. Step 5: Solve for x
    x = 6,476,022,445.20/119,296
  6. Step 6: Final answer
    x = 54,285.33

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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.