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Finding the Fourth Proportional to 105,851.30, 146,076.46 and 58,109

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Solution

The fourth proportional to 105,851.30, 146,076.46 and 58,109 is: 80,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,851.30 : 146,076.46 = 58,109 : x
  2. Step 2: Convert to fraction form
    105,851.30/146,076.46 = 58,109/x
  3. Step 3: Cross multiply
    105,851.30x = 146,076.46 × 58,109
  4. Step 4: Simplify right side
    105,851.30x = 8,488,357,014.14
  5. Step 5: Solve for x
    x = 8,488,357,014.14/105,851.30
  6. Step 6: Final answer
    x = 80,191.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.