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Finding the Fourth Proportional to 105,859.38, 146,086.56 and 58,113.12

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Solution

The fourth proportional to 105,859.38, 146,086.56 and 58,113.12 is: 80,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,859.38 : 146,086.56 = 58,113.12 : x
  2. Step 2: Convert to fraction form
    105,859.38/146,086.56 = 58,113.12/x
  3. Step 3: Cross multiply
    105,859.38x = 146,086.56 × 58,113.12
  4. Step 4: Simplify right side
    105,859.38x = 8,489,545,791.67
  5. Step 5: Solve for x
    x = 8,489,545,791.67/105,859.38
  6. Step 6: Final answer
    x = 80,196.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.