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Finding the Fourth Proportional to 105,817.25, 146,027.37 and 58,071.38

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Solution

The fourth proportional to 105,817.25, 146,027.37 and 58,071.38 is: 80,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,817.25 : 146,027.37 = 58,071.38 : x
  2. Step 2: Convert to fraction form
    105,817.25/146,027.37 = 58,071.38/x
  3. Step 3: Cross multiply
    105,817.25x = 146,027.37 × 58,071.38
  4. Step 4: Simplify right side
    105,817.25x = 8,480,010,893.67
  5. Step 5: Solve for x
    x = 8,480,010,893.67/105,817.25
  6. Step 6: Final answer
    x = 80,138.27

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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.