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Finding the Fourth Proportional to 141,180.96, 194,832.84 and 77,519

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Solution

The fourth proportional to 141,180.96, 194,832.84 and 77,519 is: 106,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,180.96 : 194,832.84 = 77,519 : x
  2. Step 2: Convert to fraction form
    141,180.96/194,832.84 = 77,519/x
  3. Step 3: Cross multiply
    141,180.96x = 194,832.84 × 77,519
  4. Step 4: Simplify right side
    141,180.96x = 15,103,246,923.96
  5. Step 5: Solve for x
    x = 15,103,246,923.96/141,180.96
  6. Step 6: Final answer
    x = 106,977.93

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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.