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Finding the Fourth Proportional to 141,181.94, 194,834.22 and 77,520

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Solution

The fourth proportional to 141,181.94, 194,834.22 and 77,520 is: 106,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,181.94 : 194,834.22 = 77,520 : x
  2. Step 2: Convert to fraction form
    141,181.94/194,834.22 = 77,520/x
  3. Step 3: Cross multiply
    141,181.94x = 194,834.22 × 77,520
  4. Step 4: Simplify right side
    141,181.94x = 15,103,548,734.40
  5. Step 5: Solve for x
    x = 15,103,548,734.40/141,181.94
  6. Step 6: Final answer
    x = 106,979.33

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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.