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Finding the Fourth Proportional to 150,159.38, 225,082.16 and 50,237.38

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Solution

The fourth proportional to 150,159.38, 225,082.16 and 50,237.38 is: 75,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,159.38 : 225,082.16 = 50,237.38 : x
  2. Step 2: Convert to fraction form
    150,159.38/225,082.16 = 50,237.38/x
  3. Step 3: Cross multiply
    150,159.38x = 225,082.16 × 50,237.38
  4. Step 4: Simplify right side
    150,159.38x = 11,307,536,626.54
  5. Step 5: Solve for x
    x = 11,307,536,626.54/150,159.38
  6. Step 6: Final answer
    x = 75,303.56

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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.