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Finding the Fourth Proportional to 141,137.40, 194,771.82 and 77,481

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Solution

The fourth proportional to 141,137.40, 194,771.82 and 77,481 is: 106,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,137.40 : 194,771.82 = 77,481 : x
  2. Step 2: Convert to fraction form
    141,137.40/194,771.82 = 77,481/x
  3. Step 3: Cross multiply
    141,137.40x = 194,771.82 × 77,481
  4. Step 4: Simplify right side
    141,137.40x = 15,091,115,385.42
  5. Step 5: Solve for x
    x = 15,091,115,385.42/141,137.40
  6. Step 6: Final answer
    x = 106,924.99

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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.