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Finding the Fourth Proportional to 226,222.62, 311,977.24 and 145,507.74

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Solution

The fourth proportional to 226,222.62, 311,977.24 and 145,507.74 is: 200,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,222.62 : 311,977.24 = 145,507.74 : x
  2. Step 2: Convert to fraction form
    226,222.62/311,977.24 = 145,507.74/x
  3. Step 3: Cross multiply
    226,222.62x = 311,977.24 × 145,507.74
  4. Step 4: Simplify right side
    226,222.62x = 45,395,103,123.84
  5. Step 5: Solve for x
    x = 45,395,103,123.84/226,222.62
  6. Step 6: Final answer
    x = 200,665.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.