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Finding the Fourth Proportional to 109,942.05, 164,700.86 and 65,604.27

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Solution

The fourth proportional to 109,942.05, 164,700.86 and 65,604.27 is: 98,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,942.05 : 164,700.86 = 65,604.27 : x
  2. Step 2: Convert to fraction form
    109,942.05/164,700.86 = 65,604.27/x
  3. Step 3: Cross multiply
    109,942.05x = 164,700.86 × 65,604.27
  4. Step 4: Simplify right side
    109,942.05x = 10,805,079,360.65
  5. Step 5: Solve for x
    x = 10,805,079,360.65/109,942.05
  6. Step 6: Final answer
    x = 98,279.77

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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.