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Finding the Fourth Proportional to 141,145.84, 211,441.96 and 81,857

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Solution

The fourth proportional to 141,145.84, 211,441.96 and 81,857 is: 122,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,145.84 : 211,441.96 = 81,857 : x
  2. Step 2: Convert to fraction form
    141,145.84/211,441.96 = 81,857/x
  3. Step 3: Cross multiply
    141,145.84x = 211,441.96 × 81,857
  4. Step 4: Simplify right side
    141,145.84x = 17,308,004,519.72
  5. Step 5: Solve for x
    x = 17,308,004,519.72/141,145.84
  6. Step 6: Final answer
    x = 122,624.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.