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Finding the Fourth Proportional to 204,933.60, 307,400.40 and 191,714.40

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Solution

The fourth proportional to 204,933.60, 307,400.40 and 191,714.40 is: 287,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,933.60 : 307,400.40 = 191,714.40 : x
  2. Step 2: Convert to fraction form
    204,933.60/307,400.40 = 191,714.40/x
  3. Step 3: Cross multiply
    204,933.60x = 307,400.40 × 191,714.40
  4. Step 4: Simplify right side
    204,933.60x = 58,933,083,245.76
  5. Step 5: Solve for x
    x = 58,933,083,245.76/204,933.60
  6. Step 6: Final answer
    x = 287,571.60

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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.