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Finding the Fourth Proportional to 106,511.86, 146,982.28 and 58,764.38

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Solution

The fourth proportional to 106,511.86, 146,982.28 and 58,764.38 is: 81,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,511.86 : 146,982.28 = 58,764.38 : x
  2. Step 2: Convert to fraction form
    106,511.86/146,982.28 = 58,764.38/x
  3. Step 3: Cross multiply
    106,511.86x = 146,982.28 × 58,764.38
  4. Step 4: Simplify right side
    106,511.86x = 8,637,322,261.36
  5. Step 5: Solve for x
    x = 8,637,322,261.36/106,511.86
  6. Step 6: Final answer
    x = 81,092.59

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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.