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Finding the Fourth Proportional to 106,988.80, 160,410.30 and 50,855.80

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Solution

The fourth proportional to 106,988.80, 160,410.30 and 50,855.80 is: 76,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988.80 : 160,410.30 = 50,855.80 : x
  2. Step 2: Convert to fraction form
    106,988.80/160,410.30 = 50,855.80/x
  3. Step 3: Cross multiply
    106,988.80x = 160,410.30 × 50,855.80
  4. Step 4: Simplify right side
    106,988.80x = 8,157,794,134.74
  5. Step 5: Solve for x
    x = 8,157,794,134.74/106,988.80
  6. Step 6: Final answer
    x = 76,249.05

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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.