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Finding the Fourth Proportional to 119,535.68, 164,960.34 and 65,821.92

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Solution

The fourth proportional to 119,535.68, 164,960.34 and 65,821.92 is: 90,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535.68 : 164,960.34 = 65,821.92 : x
  2. Step 2: Convert to fraction form
    119,535.68/164,960.34 = 65,821.92/x
  3. Step 3: Cross multiply
    119,535.68x = 164,960.34 × 65,821.92
  4. Step 4: Simplify right side
    119,535.68x = 10,858,006,302.65
  5. Step 5: Solve for x
    x = 10,858,006,302.65/119,535.68
  6. Step 6: Final answer
    x = 90,834.86

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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.