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Finding the Fourth Proportional to 104,580.38, 144,321.84 and 56,833.73

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Solution

The fourth proportional to 104,580.38, 144,321.84 and 56,833.73 is: 78,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,580.38 : 144,321.84 = 56,833.73 : x
  2. Step 2: Convert to fraction form
    104,580.38/144,321.84 = 56,833.73/x
  3. Step 3: Cross multiply
    104,580.38x = 144,321.84 × 56,833.73
  4. Step 4: Simplify right side
    104,580.38x = 8,202,347,766.05
  5. Step 5: Solve for x
    x = 8,202,347,766.05/104,580.38
  6. Step 6: Final answer
    x = 78,431.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.