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Finding the Fourth Proportional to 206,892.41, 310,474.70 and 113,463.77

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Solution

The fourth proportional to 206,892.41, 310,474.70 and 113,463.77 is: 170,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.41 : 310,474.70 = 113,463.77 : x
  2. Step 2: Convert to fraction form
    206,892.41/310,474.70 = 113,463.77/x
  3. Step 3: Cross multiply
    206,892.41x = 310,474.70 × 113,463.77
  4. Step 4: Simplify right side
    206,892.41x = 35,227,629,384.30
  5. Step 5: Solve for x
    x = 35,227,629,384.30/206,892.41
  6. Step 6: Final answer
    x = 170,270.28

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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.