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Finding the Fourth Proportional to 274,094.11, 411,199.84 and 81,983.61

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Solution

The fourth proportional to 274,094.11, 411,199.84 and 81,983.61 is: 122,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,094.11 : 411,199.84 = 81,983.61 : x
  2. Step 2: Convert to fraction form
    274,094.11/411,199.84 = 81,983.61/x
  3. Step 3: Cross multiply
    274,094.11x = 411,199.84 × 81,983.61
  4. Step 4: Simplify right side
    274,094.11x = 33,711,647,417.10
  5. Step 5: Solve for x
    x = 33,711,647,417.10/274,094.11
  6. Step 6: Final answer
    x = 122,992.96

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Why These Related Problems?

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