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Finding the Fourth Proportional to 109,505.50, 164,381.33 and 84,842.98

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Solution

The fourth proportional to 109,505.50, 164,381.33 and 84,842.98 is: 127,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,505.50 : 164,381.33 = 84,842.98 : x
  2. Step 2: Convert to fraction form
    109,505.50/164,381.33 = 84,842.98/x
  3. Step 3: Cross multiply
    109,505.50x = 164,381.33 × 84,842.98
  4. Step 4: Simplify right side
    109,505.50x = 13,946,601,694.72
  5. Step 5: Solve for x
    x = 13,946,601,694.72/109,505.50
  6. Step 6: Final answer
    x = 127,359.83

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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.