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Finding the Fourth Proportional to 231,943.59, 320,082.21 and 141,299.53

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Solution

The fourth proportional to 231,943.59, 320,082.21 and 141,299.53 is: 194,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,943.59 : 320,082.21 = 141,299.53 : x
  2. Step 2: Convert to fraction form
    231,943.59/320,082.21 = 141,299.53/x
  3. Step 3: Cross multiply
    231,943.59x = 320,082.21 × 141,299.53
  4. Step 4: Simplify right side
    231,943.59x = 45,227,465,704.59
  5. Step 5: Solve for x
    x = 45,227,465,704.59/231,943.59
  6. Step 6: Final answer
    x = 194,993.38

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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.