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Finding the Fourth Proportional to 118,974.52, 164,195.40 and 65,269.99

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Solution

The fourth proportional to 118,974.52, 164,195.40 and 65,269.99 is: 90,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974.52 : 164,195.40 = 65,269.99 : x
  2. Step 2: Convert to fraction form
    118,974.52/164,195.40 = 65,269.99/x
  3. Step 3: Cross multiply
    118,974.52x = 164,195.40 × 65,269.99
  4. Step 4: Simplify right side
    118,974.52x = 10,717,032,116.05
  5. Step 5: Solve for x
    x = 10,717,032,116.05/118,974.52
  6. Step 6: Final answer
    x = 90,078.38

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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.