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Finding the Fourth Proportional to 96,394.20, 144,504.90 and 85,896.60

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Solution

The fourth proportional to 96,394.20, 144,504.90 and 85,896.60 is: 128,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394.20 : 144,504.90 = 85,896.60 : x
  2. Step 2: Convert to fraction form
    96,394.20/144,504.90 = 85,896.60/x
  3. Step 3: Cross multiply
    96,394.20x = 144,504.90 × 85,896.60
  4. Step 4: Simplify right side
    96,394.20x = 12,412,479,593.34
  5. Step 5: Solve for x
    x = 12,412,479,593.34/96,394.20
  6. Step 6: Final answer
    x = 128,767.91

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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.