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Finding the Fourth Proportional to 105,874.79, 146,107.46 and 58,131.20

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Solution

The fourth proportional to 105,874.79, 146,107.46 and 58,131.20 is: 80,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,874.79 : 146,107.46 = 58,131.20 : x
  2. Step 2: Convert to fraction form
    105,874.79/146,107.46 = 58,131.20/x
  3. Step 3: Cross multiply
    105,874.79x = 146,107.46 × 58,131.20
  4. Step 4: Simplify right side
    105,874.79x = 8,493,400,957.56
  5. Step 5: Solve for x
    x = 8,493,400,957.56/105,874.79
  6. Step 6: Final answer
    x = 80,221.19

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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.