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Finding the Fourth Proportional to 140,803.56, 194,369.76 and 84,204

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Solution

The fourth proportional to 140,803.56, 194,369.76 and 84,204 is: 116,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,803.56 : 194,369.76 = 84,204 : x
  2. Step 2: Convert to fraction form
    140,803.56/194,369.76 = 84,204/x
  3. Step 3: Cross multiply
    140,803.56x = 194,369.76 × 84,204
  4. Step 4: Simplify right side
    140,803.56x = 16,366,711,271.04
  5. Step 5: Solve for x
    x = 16,366,711,271.04/140,803.56
  6. Step 6: Final answer
    x = 116,237.91

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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.