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Finding the Fourth Proportional to 106,285, 146,679.96 and 58,538.34

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Solution

The fourth proportional to 106,285, 146,679.96 and 58,538.34 is: 80,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,285 : 146,679.96 = 58,538.34 : x
  2. Step 2: Convert to fraction form
    106,285/146,679.96 = 58,538.34/x
  3. Step 3: Cross multiply
    106,285x = 146,679.96 × 58,538.34
  4. Step 4: Simplify right side
    106,285x = 8,586,401,369.67
  5. Step 5: Solve for x
    x = 8,586,401,369.67/106,285
  6. Step 6: Final answer
    x = 80,786.58

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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.