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Finding the Fourth Proportional to 203,911.20, 305,866.80 and 119,711.70

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Solution

The fourth proportional to 203,911.20, 305,866.80 and 119,711.70 is: 179,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,911.20 : 305,866.80 = 119,711.70 : x
  2. Step 2: Convert to fraction form
    203,911.20/305,866.80 = 119,711.70/x
  3. Step 3: Cross multiply
    203,911.20x = 305,866.80 × 119,711.70
  4. Step 4: Simplify right side
    203,911.20x = 36,615,834,601.56
  5. Step 5: Solve for x
    x = 36,615,834,601.56/203,911.20
  6. Step 6: Final answer
    x = 179,567.55

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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.