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Finding the Fourth Proportional to 150,438.64, 225,658.20 and 38,118.88

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Solution

The fourth proportional to 150,438.64, 225,658.20 and 38,118.88 is: 57,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,438.64 : 225,658.20 = 38,118.88 : x
  2. Step 2: Convert to fraction form
    150,438.64/225,658.20 = 38,118.88/x
  3. Step 3: Cross multiply
    150,438.64x = 225,658.20 × 38,118.88
  4. Step 4: Simplify right side
    150,438.64x = 8,601,837,846.82
  5. Step 5: Solve for x
    x = 8,601,837,846.82/150,438.64
  6. Step 6: Final answer
    x = 57,178.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.