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Finding the Fourth Proportional to 129,524.19, 194,312.48 and 54,644.49

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Solution

The fourth proportional to 129,524.19, 194,312.48 and 54,644.49 is: 81,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,524.19 : 194,312.48 = 54,644.49 : x
  2. Step 2: Convert to fraction form
    129,524.19/194,312.48 = 54,644.49/x
  3. Step 3: Cross multiply
    129,524.19x = 194,312.48 × 54,644.49
  4. Step 4: Simplify right side
    129,524.19x = 10,618,106,370.24
  5. Step 5: Solve for x
    x = 10,618,106,370.24/129,524.19
  6. Step 6: Final answer
    x = 81,977.79

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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.