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Finding the Fourth Proportional to 129,523.94, 194,312.10 and 54,644.24

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Solution

The fourth proportional to 129,523.94, 194,312.10 and 54,644.24 is: 81,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,523.94 : 194,312.10 = 54,644.24 : x
  2. Step 2: Convert to fraction form
    129,523.94/194,312.10 = 54,644.24/x
  3. Step 3: Cross multiply
    129,523.94x = 194,312.10 × 54,644.24
  4. Step 4: Simplify right side
    129,523.94x = 10,618,037,513.08
  5. Step 5: Solve for x
    x = 10,618,037,513.08/129,523.94
  6. Step 6: Final answer
    x = 81,977.42

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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.