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Finding the Fourth Proportional to 204,984.80, 307,534.80 and 99,807.20

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Solution

The fourth proportional to 204,984.80, 307,534.80 and 99,807.20 is: 149,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,984.80 : 307,534.80 = 99,807.20 : x
  2. Step 2: Convert to fraction form
    204,984.80/307,534.80 = 99,807.20/x
  3. Step 3: Cross multiply
    204,984.80x = 307,534.80 × 99,807.20
  4. Step 4: Simplify right side
    204,984.80x = 30,694,187,290.56
  5. Step 5: Solve for x
    x = 30,694,187,290.56/204,984.80
  6. Step 6: Final answer
    x = 149,738.85

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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.