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Finding the Fourth Proportional to 118,151.84, 177,175.92 and 44,228

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Solution

The fourth proportional to 118,151.84, 177,175.92 and 44,228 is: 66,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,151.84 : 177,175.92 = 44,228 : x
  2. Step 2: Convert to fraction form
    118,151.84/177,175.92 = 44,228/x
  3. Step 3: Cross multiply
    118,151.84x = 177,175.92 × 44,228
  4. Step 4: Simplify right side
    118,151.84x = 7,836,136,589.76
  5. Step 5: Solve for x
    x = 7,836,136,589.76/118,151.84
  6. Step 6: Final answer
    x = 66,322.59

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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.