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Finding the Fourth Proportional to 144,912.70, 217,369.05 and 133,507.90

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Solution

The fourth proportional to 144,912.70, 217,369.05 and 133,507.90 is: 200,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,912.70 : 217,369.05 = 133,507.90 : x
  2. Step 2: Convert to fraction form
    144,912.70/217,369.05 = 133,507.90/x
  3. Step 3: Cross multiply
    144,912.70x = 217,369.05 × 133,507.90
  4. Step 4: Simplify right side
    144,912.70x = 29,020,485,390.50
  5. Step 5: Solve for x
    x = 29,020,485,390.50/144,912.70
  6. Step 6: Final answer
    x = 200,261.85

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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.