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Finding the Fourth Proportional to 129,415.30, 194,232.30 and 50,586.10

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Solution

The fourth proportional to 129,415.30, 194,232.30 and 50,586.10 is: 75,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,415.30 : 194,232.30 = 50,586.10 : x
  2. Step 2: Convert to fraction form
    129,415.30/194,232.30 = 50,586.10/x
  3. Step 3: Cross multiply
    129,415.30x = 194,232.30 × 50,586.10
  4. Step 4: Simplify right side
    129,415.30x = 9,825,454,551.03
  5. Step 5: Solve for x
    x = 9,825,454,551.03/129,415.30
  6. Step 6: Final answer
    x = 75,921.89

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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.