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Finding the Fourth Proportional to 150,912.32, 226,193.50 and 142,164.32

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Solution

The fourth proportional to 150,912.32, 226,193.50 and 142,164.32 is: 213,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912.32 : 226,193.50 = 142,164.32 : x
  2. Step 2: Convert to fraction form
    150,912.32/226,193.50 = 142,164.32/x
  3. Step 3: Cross multiply
    150,912.32x = 226,193.50 × 142,164.32
  4. Step 4: Simplify right side
    150,912.32x = 32,156,645,115.92
  5. Step 5: Solve for x
    x = 32,156,645,115.92/150,912.32
  6. Step 6: Final answer
    x = 213,081.64

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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.