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Finding the Fourth Proportional to 135,197.92, 186,569.76 and 74,771.92

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Solution

The fourth proportional to 135,197.92, 186,569.76 and 74,771.92 is: 103,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,197.92 : 186,569.76 = 74,771.92 : x
  2. Step 2: Convert to fraction form
    135,197.92/186,569.76 = 74,771.92/x
  3. Step 3: Cross multiply
    135,197.92x = 186,569.76 × 74,771.92
  4. Step 4: Simplify right side
    135,197.92x = 13,950,179,169.14
  5. Step 5: Solve for x
    x = 13,950,179,169.14/135,197.92
  6. Step 6: Final answer
    x = 103,183.39

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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.