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Finding the Fourth Proportional to 223,203.36, 307,906.38 and 142,546.08

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Solution

The fourth proportional to 223,203.36, 307,906.38 and 142,546.08 is: 196,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,203.36 : 307,906.38 = 142,546.08 : x
  2. Step 2: Convert to fraction form
    223,203.36/307,906.38 = 142,546.08/x
  3. Step 3: Cross multiply
    223,203.36x = 307,906.38 × 142,546.08
  4. Step 4: Simplify right side
    223,203.36x = 43,890,847,475.99
  5. Step 5: Solve for x
    x = 43,890,847,475.99/223,203.36
  6. Step 6: Final answer
    x = 196,640.62

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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.