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Finding the Fourth Proportional to 119,343.78, 164,694.33 and 65,629.62

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Solution

The fourth proportional to 119,343.78, 164,694.33 and 65,629.62 is: 90,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343.78 : 164,694.33 = 65,629.62 : x
  2. Step 2: Convert to fraction form
    119,343.78/164,694.33 = 65,629.62/x
  3. Step 3: Cross multiply
    119,343.78x = 164,694.33 × 65,629.62
  4. Step 4: Simplify right side
    119,343.78x = 10,808,826,294.05
  5. Step 5: Solve for x
    x = 10,808,826,294.05/119,343.78
  6. Step 6: Final answer
    x = 90,568.83

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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.