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Finding the Fourth Proportional to 119,661.38, 165,131.85 and 65,946.44

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Solution

The fourth proportional to 119,661.38, 165,131.85 and 65,946.44 is: 91,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,661.38 : 165,131.85 = 65,946.44 : x
  2. Step 2: Convert to fraction form
    119,661.38/165,131.85 = 65,946.44/x
  3. Step 3: Cross multiply
    119,661.38x = 165,131.85 × 65,946.44
  4. Step 4: Simplify right side
    119,661.38x = 10,889,856,812.45
  5. Step 5: Solve for x
    x = 10,889,856,812.45/119,661.38
  6. Step 6: Final answer
    x = 91,005.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.