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Finding the Fourth Proportional to 277,861.98, 416,811.33 and 109,369.02

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Solution

The fourth proportional to 277,861.98, 416,811.33 and 109,369.02 is: 164,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,861.98 : 416,811.33 = 109,369.02 : x
  2. Step 2: Convert to fraction form
    277,861.98/416,811.33 = 109,369.02/x
  3. Step 3: Cross multiply
    277,861.98x = 416,811.33 × 109,369.02
  4. Step 4: Simplify right side
    277,861.98x = 45,586,246,687.00
  5. Step 5: Solve for x
    x = 45,586,246,687.00/277,861.98
  6. Step 6: Final answer
    x = 164,060.76

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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.