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Finding the Fourth Proportional to 205,027.30, 307,540.95 and 125,884.90

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Solution

The fourth proportional to 205,027.30, 307,540.95 and 125,884.90 is: 188,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,027.30 : 307,540.95 = 125,884.90 : x
  2. Step 2: Convert to fraction form
    205,027.30/307,540.95 = 125,884.90/x
  3. Step 3: Cross multiply
    205,027.30x = 307,540.95 × 125,884.90
  4. Step 4: Simplify right side
    205,027.30x = 38,714,761,736.66
  5. Step 5: Solve for x
    x = 38,714,761,736.66/205,027.30
  6. Step 6: Final answer
    x = 188,827.35

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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.