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Finding the Fourth Proportional to 207,753.30, 311,682.51 and 57,993.48

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Solution

The fourth proportional to 207,753.30, 311,682.51 and 57,993.48 is: 87,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,753.30 : 311,682.51 = 57,993.48 : x
  2. Step 2: Convert to fraction form
    207,753.30/311,682.51 = 57,993.48/x
  3. Step 3: Cross multiply
    207,753.30x = 311,682.51 × 57,993.48
  4. Step 4: Simplify right side
    207,753.30x = 18,075,553,410.03
  5. Step 5: Solve for x
    x = 18,075,553,410.03/207,753.30
  6. Step 6: Final answer
    x = 87,004.89

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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.