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Finding the Fourth Proportional to 106,462.73, 146,913.27 and 58,713.23

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Solution

The fourth proportional to 106,462.73, 146,913.27 and 58,713.23 is: 81,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.73 : 146,913.27 = 58,713.23 : x
  2. Step 2: Convert to fraction form
    106,462.73/146,913.27 = 58,713.23/x
  3. Step 3: Cross multiply
    106,462.73x = 146,913.27 × 58,713.23
  4. Step 4: Simplify right side
    106,462.73x = 8,625,752,611.56
  5. Step 5: Solve for x
    x = 8,625,752,611.56/106,462.73
  6. Step 6: Final answer
    x = 81,021.34

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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.