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Finding the Fourth Proportional to 150,431.68, 225,658.86 and 50,592.16

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Solution

The fourth proportional to 150,431.68, 225,658.86 and 50,592.16 is: 75,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,431.68 : 225,658.86 = 50,592.16 : x
  2. Step 2: Convert to fraction form
    150,431.68/225,658.86 = 50,592.16/x
  3. Step 3: Cross multiply
    150,431.68x = 225,658.86 × 50,592.16
  4. Step 4: Simplify right side
    150,431.68x = 11,416,569,150.54
  5. Step 5: Solve for x
    x = 11,416,569,150.54/150,431.68
  6. Step 6: Final answer
    x = 75,892.05

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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.