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Finding the Fourth Proportional to 204,290.96, 306,435.44 and 52,487.92

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Solution

The fourth proportional to 204,290.96, 306,435.44 and 52,487.92 is: 78,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,290.96 : 306,435.44 = 52,487.92 : x
  2. Step 2: Convert to fraction form
    204,290.96/306,435.44 = 52,487.92/x
  3. Step 3: Cross multiply
    204,290.96x = 306,435.44 × 52,487.92
  4. Step 4: Simplify right side
    204,290.96x = 16,084,158,859.88
  5. Step 5: Solve for x
    x = 16,084,158,859.88/204,290.96
  6. Step 6: Final answer
    x = 78,731.62

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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.