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Finding the Fourth Proportional to 105,506.56, 145,601.61 and 57,759.76

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Solution

The fourth proportional to 105,506.56, 145,601.61 and 57,759.76 is: 79,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,506.56 : 145,601.61 = 57,759.76 : x
  2. Step 2: Convert to fraction form
    105,506.56/145,601.61 = 57,759.76/x
  3. Step 3: Cross multiply
    105,506.56x = 145,601.61 × 57,759.76
  4. Step 4: Simplify right side
    105,506.56x = 8,409,914,049.21
  5. Step 5: Solve for x
    x = 8,409,914,049.21/105,506.56
  6. Step 6: Final answer
    x = 79,709.87

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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.