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Finding the Fourth Proportional to 105,913.70, 146,163.42 and 58,168.07

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Solution

The fourth proportional to 105,913.70, 146,163.42 and 58,168.07 is: 80,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,913.70 : 146,163.42 = 58,168.07 : x
  2. Step 2: Convert to fraction form
    105,913.70/146,163.42 = 58,168.07/x
  3. Step 3: Cross multiply
    105,913.70x = 146,163.42 × 58,168.07
  4. Step 4: Simplify right side
    105,913.70x = 8,502,043,315.18
  5. Step 5: Solve for x
    x = 8,502,043,315.18/105,913.70
  6. Step 6: Final answer
    x = 80,273.31

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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.