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Finding the Fourth Proportional to 233,912.70, 322,772.40 and 131,939.84

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Solution

The fourth proportional to 233,912.70, 322,772.40 and 131,939.84 is: 182,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,912.70 : 322,772.40 = 131,939.84 : x
  2. Step 2: Convert to fraction form
    233,912.70/322,772.40 = 131,939.84/x
  3. Step 3: Cross multiply
    233,912.70x = 322,772.40 × 131,939.84
  4. Step 4: Simplify right side
    233,912.70x = 42,586,537,198.55
  5. Step 5: Solve for x
    x = 42,586,537,198.55/233,912.70
  6. Step 6: Final answer
    x = 182,061.67

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Why These Related Problems?

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