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Finding the Fourth Proportional to 150,193.56, 225,281.70 and 50,349.72

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Solution

The fourth proportional to 150,193.56, 225,281.70 and 50,349.72 is: 75,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193.56 : 225,281.70 = 50,349.72 : x
  2. Step 2: Convert to fraction form
    150,193.56/225,281.70 = 50,349.72/x
  3. Step 3: Cross multiply
    150,193.56x = 225,281.70 × 50,349.72
  4. Step 4: Simplify right side
    150,193.56x = 11,342,870,516.12
  5. Step 5: Solve for x
    x = 11,342,870,516.12/150,193.56
  6. Step 6: Final answer
    x = 75,521.68

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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.