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Finding the Fourth Proportional to 225,796.44, 338,030.24 and 150,730.40

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Solution

The fourth proportional to 225,796.44, 338,030.24 and 150,730.40 is: 225,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,796.44 : 338,030.24 = 150,730.40 : x
  2. Step 2: Convert to fraction form
    225,796.44/338,030.24 = 150,730.40/x
  3. Step 3: Cross multiply
    225,796.44x = 338,030.24 × 150,730.40
  4. Step 4: Simplify right side
    225,796.44x = 50,951,433,287.30
  5. Step 5: Solve for x
    x = 50,951,433,287.30/225,796.44
  6. Step 6: Final answer
    x = 225,652.07

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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.