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Finding the Fourth Proportional to 129,984.10, 194,648.10 and 85,369.30

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Solution

The fourth proportional to 129,984.10, 194,648.10 and 85,369.30 is: 127,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,984.10 : 194,648.10 = 85,369.30 : x
  2. Step 2: Convert to fraction form
    129,984.10/194,648.10 = 85,369.30/x
  3. Step 3: Cross multiply
    129,984.10x = 194,648.10 × 85,369.30
  4. Step 4: Simplify right side
    129,984.10x = 16,616,972,043.33
  5. Step 5: Solve for x
    x = 16,616,972,043.33/129,984.10
  6. Step 6: Final answer
    x = 127,838.50

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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.