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Finding the Fourth Proportional to 96,537.60, 144,633.60 and 82,713.60

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Solution

The fourth proportional to 96,537.60, 144,633.60 and 82,713.60 is: 123,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,537.60 : 144,633.60 = 82,713.60 : x
  2. Step 2: Convert to fraction form
    96,537.60/144,633.60 = 82,713.60/x
  3. Step 3: Cross multiply
    96,537.60x = 144,633.60 × 82,713.60
  4. Step 4: Simplify right side
    96,537.60x = 11,963,165,736.96
  5. Step 5: Solve for x
    x = 11,963,165,736.96/96,537.60
  6. Step 6: Final answer
    x = 123,922.34

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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.