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Finding the Fourth Proportional to 234,947.40, 352,189.44 and 150,467.64

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Solution

The fourth proportional to 234,947.40, 352,189.44 and 150,467.64 is: 225,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,947.40 : 352,189.44 = 150,467.64 : x
  2. Step 2: Convert to fraction form
    234,947.40/352,189.44 = 150,467.64/x
  3. Step 3: Cross multiply
    234,947.40x = 352,189.44 × 150,467.64
  4. Step 4: Simplify right side
    234,947.40x = 52,993,113,869.72
  5. Step 5: Solve for x
    x = 52,993,113,869.72/234,947.40
  6. Step 6: Final answer
    x = 225,553.10

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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.