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Finding the Fourth Proportional to 105,876.57, 146,109.96 and 58,133.01

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Solution

The fourth proportional to 105,876.57, 146,109.96 and 58,133.01 is: 80,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876.57 : 146,109.96 = 58,133.01 : x
  2. Step 2: Convert to fraction form
    105,876.57/146,109.96 = 58,133.01/x
  3. Step 3: Cross multiply
    105,876.57x = 146,109.96 × 58,133.01
  4. Step 4: Simplify right side
    105,876.57x = 8,493,811,765.78
  5. Step 5: Solve for x
    x = 8,493,811,765.78/105,876.57
  6. Step 6: Final answer
    x = 80,223.71

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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.