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Finding the Fourth Proportional to 150,595.04, 225,912.16 and 45,424.64

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Solution

The fourth proportional to 150,595.04, 225,912.16 and 45,424.64 is: 68,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,595.04 : 225,912.16 = 45,424.64 : x
  2. Step 2: Convert to fraction form
    150,595.04/225,912.16 = 45,424.64/x
  3. Step 3: Cross multiply
    150,595.04x = 225,912.16 × 45,424.64
  4. Step 4: Simplify right side
    150,595.04x = 10,261,978,539.62
  5. Step 5: Solve for x
    x = 10,261,978,539.62/150,595.04
  6. Step 6: Final answer
    x = 68,142.87

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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.