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Finding the Fourth Proportional to 195,251.80, 293,007.30 and 111,011.80

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Solution

The fourth proportional to 195,251.80, 293,007.30 and 111,011.80 is: 166,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,251.80 : 293,007.30 = 111,011.80 : x
  2. Step 2: Convert to fraction form
    195,251.80/293,007.30 = 111,011.80/x
  3. Step 3: Cross multiply
    195,251.80x = 293,007.30 × 111,011.80
  4. Step 4: Simplify right side
    195,251.80x = 32,527,267,786.14
  5. Step 5: Solve for x
    x = 32,527,267,786.14/195,251.80
  6. Step 6: Final answer
    x = 166,591.39

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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.