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Finding the Fourth Proportional to 105,238.37, 145,118.44 and 69,382.50

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Solution

The fourth proportional to 105,238.37, 145,118.44 and 69,382.50 is: 95,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,238.37 : 145,118.44 = 69,382.50 : x
  2. Step 2: Convert to fraction form
    105,238.37/145,118.44 = 69,382.50/x
  3. Step 3: Cross multiply
    105,238.37x = 145,118.44 × 69,382.50
  4. Step 4: Simplify right side
    105,238.37x = 10,068,680,163.30
  5. Step 5: Solve for x
    x = 10,068,680,163.30/105,238.37
  6. Step 6: Final answer
    x = 95,674.99

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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.