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Finding the Fourth Proportional to 203,385.56, 305,080.11 and 53,647.11

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Solution

The fourth proportional to 203,385.56, 305,080.11 and 53,647.11 is: 80,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,385.56 : 305,080.11 = 53,647.11 : x
  2. Step 2: Convert to fraction form
    203,385.56/305,080.11 = 53,647.11/x
  3. Step 3: Cross multiply
    203,385.56x = 305,080.11 × 53,647.11
  4. Step 4: Simplify right side
    203,385.56x = 16,366,666,219.98
  5. Step 5: Solve for x
    x = 16,366,666,219.98/203,385.56
  6. Step 6: Final answer
    x = 80,471.13

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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.