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Finding the Fourth Proportional to 153,983.80, 230,846.10 and 80,111.80

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Solution

The fourth proportional to 153,983.80, 230,846.10 and 80,111.80 is: 120,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,983.80 : 230,846.10 = 80,111.80 : x
  2. Step 2: Convert to fraction form
    153,983.80/230,846.10 = 80,111.80/x
  3. Step 3: Cross multiply
    153,983.80x = 230,846.10 × 80,111.80
  4. Step 4: Simplify right side
    153,983.80x = 18,493,496,593.98
  5. Step 5: Solve for x
    x = 18,493,496,593.98/153,983.80
  6. Step 6: Final answer
    x = 120,100.27

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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.