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Finding the Fourth Proportional to 118,195.84, 177,241.88 and 44,272

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Solution

The fourth proportional to 118,195.84, 177,241.88 and 44,272 is: 66,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,195.84 : 177,241.88 = 44,272 : x
  2. Step 2: Convert to fraction form
    118,195.84/177,241.88 = 44,272/x
  3. Step 3: Cross multiply
    118,195.84x = 177,241.88 × 44,272
  4. Step 4: Simplify right side
    118,195.84x = 7,846,852,511.36
  5. Step 5: Solve for x
    x = 7,846,852,511.36/118,195.84
  6. Step 6: Final answer
    x = 66,388.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.