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Finding the Fourth Proportional to 119,825.93, 165,379.17 and 71,433.80

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Solution

The fourth proportional to 119,825.93, 165,379.17 and 71,433.80 is: 98,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,825.93 : 165,379.17 = 71,433.80 : x
  2. Step 2: Convert to fraction form
    119,825.93/165,379.17 = 71,433.80/x
  3. Step 3: Cross multiply
    119,825.93x = 165,379.17 × 71,433.80
  4. Step 4: Simplify right side
    119,825.93x = 11,813,661,727.05
  5. Step 5: Solve for x
    x = 11,813,661,727.05/119,825.93
  6. Step 6: Final answer
    x = 98,590.19

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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.