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Finding the Fourth Proportional to 141,093.85, 194,711.89 and 77,437.57

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Solution

The fourth proportional to 141,093.85, 194,711.89 and 77,437.57 is: 106,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,093.85 : 194,711.89 = 77,437.57 : x
  2. Step 2: Convert to fraction form
    141,093.85/194,711.89 = 77,437.57/x
  3. Step 3: Cross multiply
    141,093.85x = 194,711.89 × 77,437.57
  4. Step 4: Simplify right side
    141,093.85x = 15,078,016,195.28
  5. Step 5: Solve for x
    x = 15,078,016,195.28/141,093.85
  6. Step 6: Final answer
    x = 106,865.15

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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.