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Finding the Fourth Proportional to 105,999.30, 146,408.31 and 79,260.12

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Solution

The fourth proportional to 105,999.30, 146,408.31 and 79,260.12 is: 109,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.30 : 146,408.31 = 79,260.12 : x
  2. Step 2: Convert to fraction form
    105,999.30/146,408.31 = 79,260.12/x
  3. Step 3: Cross multiply
    105,999.30x = 146,408.31 × 79,260.12
  4. Step 4: Simplify right side
    105,999.30x = 11,604,340,219.60
  5. Step 5: Solve for x
    x = 11,604,340,219.60/105,999.30
  6. Step 6: Final answer
    x = 109,475.63

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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.