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Finding the Fourth Proportional to 105,879.54, 146,114.01 and 58,135.95

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Solution

The fourth proportional to 105,879.54, 146,114.01 and 58,135.95 is: 80,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,879.54 : 146,114.01 = 58,135.95 : x
  2. Step 2: Convert to fraction form
    105,879.54/146,114.01 = 58,135.95/x
  3. Step 3: Cross multiply
    105,879.54x = 146,114.01 × 58,135.95
  4. Step 4: Simplify right side
    105,879.54x = 8,494,476,779.66
  5. Step 5: Solve for x
    x = 8,494,476,779.66/105,879.54
  6. Step 6: Final answer
    x = 80,227.75

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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.