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Finding the Fourth Proportional to 230,972.80, 346,286.40 and 125,910.40

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Solution

The fourth proportional to 230,972.80, 346,286.40 and 125,910.40 is: 188,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972.80 : 346,286.40 = 125,910.40 : x
  2. Step 2: Convert to fraction form
    230,972.80/346,286.40 = 125,910.40/x
  3. Step 3: Cross multiply
    230,972.80x = 346,286.40 × 125,910.40
  4. Step 4: Simplify right side
    230,972.80x = 43,601,059,138.56
  5. Step 5: Solve for x
    x = 43,601,059,138.56/230,972.80
  6. Step 6: Final answer
    x = 188,771.40

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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.