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Finding the Fourth Proportional to 220,237.80, 329,838.30 and 149,735.40

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Solution

The fourth proportional to 220,237.80, 329,838.30 and 149,735.40 is: 224,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,237.80 : 329,838.30 = 149,735.40 : x
  2. Step 2: Convert to fraction form
    220,237.80/329,838.30 = 149,735.40/x
  3. Step 3: Cross multiply
    220,237.80x = 329,838.30 × 149,735.40
  4. Step 4: Simplify right side
    220,237.80x = 49,388,469,785.82
  5. Step 5: Solve for x
    x = 49,388,469,785.82/220,237.80
  6. Step 6: Final answer
    x = 224,250.65

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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.