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Finding the Fourth Proportional to 129,538.39, 194,224.13 and 54,638.50

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Solution

The fourth proportional to 129,538.39, 194,224.13 and 54,638.50 is: 81,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,538.39 : 194,224.13 = 54,638.50 : x
  2. Step 2: Convert to fraction form
    129,538.39/194,224.13 = 54,638.50/x
  3. Step 3: Cross multiply
    129,538.39x = 194,224.13 × 54,638.50
  4. Step 4: Simplify right side
    129,538.39x = 10,612,114,937.32
  5. Step 5: Solve for x
    x = 10,612,114,937.32/129,538.39
  6. Step 6: Final answer
    x = 81,922.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.