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Finding the Fourth Proportional to 206,031.36, 308,983.45 and 72,881

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Solution

The fourth proportional to 206,031.36, 308,983.45 and 72,881 is: 109,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.36 : 308,983.45 = 72,881 : x
  2. Step 2: Convert to fraction form
    206,031.36/308,983.45 = 72,881/x
  3. Step 3: Cross multiply
    206,031.36x = 308,983.45 × 72,881
  4. Step 4: Simplify right side
    206,031.36x = 22,519,022,819.45
  5. Step 5: Solve for x
    x = 22,519,022,819.45/206,031.36
  6. Step 6: Final answer
    x = 109,299.01

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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.