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Finding the Fourth Proportional to 204,230.16, 306,327.60 and 71,087.76

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Solution

The fourth proportional to 204,230.16, 306,327.60 and 71,087.76 is: 106,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,230.16 : 306,327.60 = 71,087.76 : x
  2. Step 2: Convert to fraction form
    204,230.16/306,327.60 = 71,087.76/x
  3. Step 3: Cross multiply
    204,230.16x = 306,327.60 × 71,087.76
  4. Step 4: Simplify right side
    204,230.16x = 21,776,142,910.18
  5. Step 5: Solve for x
    x = 21,776,142,910.18/204,230.16
  6. Step 6: Final answer
    x = 106,625.50

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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.