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Finding the Fourth Proportional to 188,957.80, 283,358.94 and 149,611.24

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Solution

The fourth proportional to 188,957.80, 283,358.94 and 149,611.24 is: 224,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,957.80 : 283,358.94 = 149,611.24 : x
  2. Step 2: Convert to fraction form
    188,957.80/283,358.94 = 149,611.24/x
  3. Step 3: Cross multiply
    188,957.80x = 283,358.94 × 149,611.24
  4. Step 4: Simplify right side
    188,957.80x = 42,393,682,378.49
  5. Step 5: Solve for x
    x = 42,393,682,378.49/188,957.80
  6. Step 6: Final answer
    x = 224,355.29

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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.