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Finding the Fourth Proportional to 105,745.20, 145,914.84 and 60,426.06

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Solution

The fourth proportional to 105,745.20, 145,914.84 and 60,426.06 is: 83,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.20 : 145,914.84 = 60,426.06 : x
  2. Step 2: Convert to fraction form
    105,745.20/145,914.84 = 60,426.06/x
  3. Step 3: Cross multiply
    105,745.20x = 145,914.84 × 60,426.06
  4. Step 4: Simplify right side
    105,745.20x = 8,817,058,876.73
  5. Step 5: Solve for x
    x = 8,817,058,876.73/105,745.20
  6. Step 6: Final answer
    x = 83,380.23

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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.