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Finding the Fourth Proportional to 141,121.76, 194,766 and 81,505.76

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Solution

The fourth proportional to 141,121.76, 194,766 and 81,505.76 is: 112,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,121.76 : 194,766 = 81,505.76 : x
  2. Step 2: Convert to fraction form
    141,121.76/194,766 = 81,505.76/x
  3. Step 3: Cross multiply
    141,121.76x = 194,766 × 81,505.76
  4. Step 4: Simplify right side
    141,121.76x = 15,874,550,852.16
  5. Step 5: Solve for x
    x = 15,874,550,852.16/141,121.76
  6. Step 6: Final answer
    x = 112,488.33

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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.