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Finding the Fourth Proportional to 150,541.01, 225,811.62 and 38,229.65

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Solution

The fourth proportional to 150,541.01, 225,811.62 and 38,229.65 is: 57,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.01 : 225,811.62 = 38,229.65 : x
  2. Step 2: Convert to fraction form
    150,541.01/225,811.62 = 38,229.65/x
  3. Step 3: Cross multiply
    150,541.01x = 225,811.62 × 38,229.65
  4. Step 4: Simplify right side
    150,541.01x = 8,632,699,198.53
  5. Step 5: Solve for x
    x = 8,632,699,198.53/150,541.01
  6. Step 6: Final answer
    x = 57,344.50

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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.