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Finding the Fourth Proportional to 106,105.57, 146,430.32 and 58,360.66

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Solution

The fourth proportional to 106,105.57, 146,430.32 and 58,360.66 is: 80,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,105.57 : 146,430.32 = 58,360.66 : x
  2. Step 2: Convert to fraction form
    106,105.57/146,430.32 = 58,360.66/x
  3. Step 3: Cross multiply
    106,105.57x = 146,430.32 × 58,360.66
  4. Step 4: Simplify right side
    106,105.57x = 8,545,770,119.21
  5. Step 5: Solve for x
    x = 8,545,770,119.21/106,105.57
  6. Step 6: Final answer
    x = 80,540.26

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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.