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Finding the Fourth Proportional to 150,793.65, 225,698.40 and 120,941.10

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Solution

The fourth proportional to 150,793.65, 225,698.40 and 120,941.10 is: 181,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,793.65 : 225,698.40 = 120,941.10 : x
  2. Step 2: Convert to fraction form
    150,793.65/225,698.40 = 120,941.10/x
  3. Step 3: Cross multiply
    150,793.65x = 225,698.40 × 120,941.10
  4. Step 4: Simplify right side
    150,793.65x = 27,296,212,764.24
  5. Step 5: Solve for x
    x = 27,296,212,764.24/150,793.65
  6. Step 6: Final answer
    x = 181,016.99

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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.