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Finding the Fourth Proportional to 119,696.64, 165,182.50 and 65,983.62

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Solution

The fourth proportional to 119,696.64, 165,182.50 and 65,983.62 is: 91,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,696.64 : 165,182.50 = 65,983.62 : x
  2. Step 2: Convert to fraction form
    119,696.64/165,182.50 = 65,983.62/x
  3. Step 3: Cross multiply
    119,696.64x = 165,182.50 × 65,983.62
  4. Step 4: Simplify right side
    119,696.64x = 10,899,339,310.65
  5. Step 5: Solve for x
    x = 10,899,339,310.65/119,696.64
  6. Step 6: Final answer
    x = 91,058.02

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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.