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Finding the Fourth Proportional to 106,512.86, 146,983.65 and 58,765.38

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Solution

The fourth proportional to 106,512.86, 146,983.65 and 58,765.38 is: 81,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512.86 : 146,983.65 = 58,765.38 : x
  2. Step 2: Convert to fraction form
    106,512.86/146,983.65 = 58,765.38/x
  3. Step 3: Cross multiply
    106,512.86x = 146,983.65 × 58,765.38
  4. Step 4: Simplify right side
    106,512.86x = 8,637,550,046.04
  5. Step 5: Solve for x
    x = 8,637,550,046.04/106,512.86
  6. Step 6: Final answer
    x = 81,093.97

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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.