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Finding the Fourth Proportional to 129,416.34, 194,047.95 and 50,438.40

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Solution

The fourth proportional to 129,416.34, 194,047.95 and 50,438.40 is: 75,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,416.34 : 194,047.95 = 50,438.40 : x
  2. Step 2: Convert to fraction form
    129,416.34/194,047.95 = 50,438.40/x
  3. Step 3: Cross multiply
    129,416.34x = 194,047.95 × 50,438.40
  4. Step 4: Simplify right side
    129,416.34x = 9,787,468,121.28
  5. Step 5: Solve for x
    x = 9,787,468,121.28/129,416.34
  6. Step 6: Final answer
    x = 75,627.76

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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.