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Finding the Fourth Proportional to 205,921.20, 308,622.60 and 182,593.20

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Solution

The fourth proportional to 205,921.20, 308,622.60 and 182,593.20 is: 273,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,921.20 : 308,622.60 = 182,593.20 : x
  2. Step 2: Convert to fraction form
    205,921.20/308,622.60 = 182,593.20/x
  3. Step 3: Cross multiply
    205,921.20x = 308,622.60 × 182,593.20
  4. Step 4: Simplify right side
    205,921.20x = 56,352,388,126.32
  5. Step 5: Solve for x
    x = 56,352,388,126.32/205,921.20
  6. Step 6: Final answer
    x = 273,659.96

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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.