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Finding the Fourth Proportional to 205,203.92, 307,903.08 and 142,121.12

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Solution

The fourth proportional to 205,203.92, 307,903.08 and 142,121.12 is: 213,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,203.92 : 307,903.08 = 142,121.12 : x
  2. Step 2: Convert to fraction form
    205,203.92/307,903.08 = 142,121.12/x
  3. Step 3: Cross multiply
    205,203.92x = 307,903.08 × 142,121.12
  4. Step 4: Simplify right side
    205,203.92x = 43,759,530,581.05
  5. Step 5: Solve for x
    x = 43,759,530,581.05/205,203.92
  6. Step 6: Final answer
    x = 213,249.00

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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.