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Finding the Fourth Proportional to 205,713.10, 308,509.17 and 87,383.50

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Solution

The fourth proportional to 205,713.10, 308,509.17 and 87,383.50 is: 131,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.10 : 308,509.17 = 87,383.50 : x
  2. Step 2: Convert to fraction form
    205,713.10/308,509.17 = 87,383.50/x
  3. Step 3: Cross multiply
    205,713.10x = 308,509.17 × 87,383.50
  4. Step 4: Simplify right side
    205,713.10x = 26,958,611,056.70
  5. Step 5: Solve for x
    x = 26,958,611,056.70/205,713.10
  6. Step 6: Final answer
    x = 131,049.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.