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Finding the Fourth Proportional to 135,729.42, 187,322.78 and 78,382.74

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Solution

The fourth proportional to 135,729.42, 187,322.78 and 78,382.74 is: 108,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,729.42 : 187,322.78 = 78,382.74 : x
  2. Step 2: Convert to fraction form
    135,729.42/187,322.78 = 78,382.74/x
  3. Step 3: Cross multiply
    135,729.42x = 187,322.78 × 78,382.74
  4. Step 4: Simplify right side
    135,729.42x = 14,682,872,760.82
  5. Step 5: Solve for x
    x = 14,682,872,760.82/135,729.42
  6. Step 6: Final answer
    x = 108,177.53

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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.