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Finding the Fourth Proportional to 165,083.67, 227,912.13 and 119,718

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Solution

The fourth proportional to 165,083.67, 227,912.13 and 119,718 is: 165,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,083.67 : 227,912.13 = 119,718 : x
  2. Step 2: Convert to fraction form
    165,083.67/227,912.13 = 119,718/x
  3. Step 3: Cross multiply
    165,083.67x = 227,912.13 × 119,718
  4. Step 4: Simplify right side
    165,083.67x = 27,285,184,379.34
  5. Step 5: Solve for x
    x = 27,285,184,379.34/165,083.67
  6. Step 6: Final answer
    x = 165,280.94

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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.