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Finding the Fourth Proportional to 132,546.81, 182,913.18 and 78,830.65

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Solution

The fourth proportional to 132,546.81, 182,913.18 and 78,830.65 is: 108,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546.81 : 182,913.18 = 78,830.65 : x
  2. Step 2: Convert to fraction form
    132,546.81/182,913.18 = 78,830.65/x
  3. Step 3: Cross multiply
    132,546.81x = 182,913.18 × 78,830.65
  4. Step 4: Simplify right side
    132,546.81x = 14,419,164,872.97
  5. Step 5: Solve for x
    x = 14,419,164,872.97/132,546.81
  6. Step 6: Final answer
    x = 108,785.45

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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.