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Finding the Fourth Proportional to 105,309.31, 145,306.69 and 59,986.30

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Solution

The fourth proportional to 105,309.31, 145,306.69 and 59,986.30 is: 82,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,309.31 : 145,306.69 = 59,986.30 : x
  2. Step 2: Convert to fraction form
    105,309.31/145,306.69 = 59,986.30/x
  3. Step 3: Cross multiply
    105,309.31x = 145,306.69 × 59,986.30
  4. Step 4: Simplify right side
    105,309.31x = 8,716,410,185.11
  5. Step 5: Solve for x
    x = 8,716,410,185.11/105,309.31
  6. Step 6: Final answer
    x = 82,769.61

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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.