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Finding the Fourth Proportional to 118,972.70, 164,179.50 and 65,257.24

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Solution

The fourth proportional to 118,972.70, 164,179.50 and 65,257.24 is: 90,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,972.70 : 164,179.50 = 65,257.24 : x
  2. Step 2: Convert to fraction form
    118,972.70/164,179.50 = 65,257.24/x
  3. Step 3: Cross multiply
    118,972.70x = 164,179.50 × 65,257.24
  4. Step 4: Simplify right side
    118,972.70x = 10,713,901,034.58
  5. Step 5: Solve for x
    x = 10,713,901,034.58/118,972.70
  6. Step 6: Final answer
    x = 90,053.44

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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.