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Finding the Fourth Proportional to 118,193.84, 177,238.88 and 44,270

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Solution

The fourth proportional to 118,193.84, 177,238.88 and 44,270 is: 66,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,193.84 : 177,238.88 = 44,270 : x
  2. Step 2: Convert to fraction form
    118,193.84/177,238.88 = 44,270/x
  3. Step 3: Cross multiply
    118,193.84x = 177,238.88 × 44,270
  4. Step 4: Simplify right side
    118,193.84x = 7,846,365,217.60
  5. Step 5: Solve for x
    x = 7,846,365,217.60/118,193.84
  6. Step 6: Final answer
    x = 66,385.57

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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.