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Finding the Fourth Proportional to 204,333.40, 306,500.10 and 147,908.80

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Solution

The fourth proportional to 204,333.40, 306,500.10 and 147,908.80 is: 221,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,333.40 : 306,500.10 = 147,908.80 : x
  2. Step 2: Convert to fraction form
    204,333.40/306,500.10 = 147,908.80/x
  3. Step 3: Cross multiply
    204,333.40x = 306,500.10 × 147,908.80
  4. Step 4: Simplify right side
    204,333.40x = 45,334,061,990.88
  5. Step 5: Solve for x
    x = 45,334,061,990.88/204,333.40
  6. Step 6: Final answer
    x = 221,863.20

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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.