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Finding the Fourth Proportional to 129,441.04, 194,082.28 and 50,463

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Solution

The fourth proportional to 129,441.04, 194,082.28 and 50,463 is: 75,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,441.04 : 194,082.28 = 50,463 : x
  2. Step 2: Convert to fraction form
    129,441.04/194,082.28 = 50,463/x
  3. Step 3: Cross multiply
    129,441.04x = 194,082.28 × 50,463
  4. Step 4: Simplify right side
    129,441.04x = 9,793,973,969.48
  5. Step 5: Solve for x
    x = 9,793,973,969.48/129,441.04
  6. Step 6: Final answer
    x = 75,663.59

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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.