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Finding the Fourth Proportional to 213,447.13, 320,350.31 and 106,799.09

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Solution

The fourth proportional to 213,447.13, 320,350.31 and 106,799.09 is: 160,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,447.13 : 320,350.31 = 106,799.09 : x
  2. Step 2: Convert to fraction form
    213,447.13/320,350.31 = 106,799.09/x
  3. Step 3: Cross multiply
    213,447.13x = 320,350.31 × 106,799.09
  4. Step 4: Simplify right side
    213,447.13x = 34,213,119,853.97
  5. Step 5: Solve for x
    x = 34,213,119,853.97/213,447.13
  6. Step 6: Final answer
    x = 160,288.50

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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.