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Finding the Fourth Proportional to 118,916.78, 164,107.38 and 65,198.57

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Solution

The fourth proportional to 118,916.78, 164,107.38 and 65,198.57 is: 89,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,916.78 : 164,107.38 = 65,198.57 : x
  2. Step 2: Convert to fraction form
    118,916.78/164,107.38 = 65,198.57/x
  3. Step 3: Cross multiply
    118,916.78x = 164,107.38 × 65,198.57
  4. Step 4: Simplify right side
    118,916.78x = 10,699,566,502.45
  5. Step 5: Solve for x
    x = 10,699,566,502.45/118,916.78
  6. Step 6: Final answer
    x = 89,975.25

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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.