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Finding the Fourth Proportional to 106,500.56, 146,971.67 and 58,757.13

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Solution

The fourth proportional to 106,500.56, 146,971.67 and 58,757.13 is: 81,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500.56 : 146,971.67 = 58,757.13 : x
  2. Step 2: Convert to fraction form
    106,500.56/146,971.67 = 58,757.13/x
  3. Step 3: Cross multiply
    106,500.56x = 146,971.67 × 58,757.13
  4. Step 4: Simplify right side
    106,500.56x = 8,635,633,226.72
  5. Step 5: Solve for x
    x = 8,635,633,226.72/106,500.56
  6. Step 6: Final answer
    x = 81,085.34

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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.