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Finding the Fourth Proportional to 104,823.64, 144,640.34 and 60,103

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Solution

The fourth proportional to 104,823.64, 144,640.34 and 60,103 is: 82,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,823.64 : 144,640.34 = 60,103 : x
  2. Step 2: Convert to fraction form
    104,823.64/144,640.34 = 60,103/x
  3. Step 3: Cross multiply
    104,823.64x = 144,640.34 × 60,103
  4. Step 4: Simplify right side
    104,823.64x = 8,693,318,355.02
  5. Step 5: Solve for x
    x = 8,693,318,355.02/104,823.64
  6. Step 6: Final answer
    x = 82,932.80

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